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Finding the Fourth Proportional to 17,684,751.22, 24,404,706.70 and 9,949,775.09

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Solution

The fourth proportional to 17,684,751.22, 24,404,706.70 and 9,949,775.09 is: 13,730,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684,751.22 : 24,404,706.70 = 9,949,775.09 : x
  2. Step 2: Convert to fraction form
    17,684,751.22/24,404,706.70 = 9,949,775.09/x
  3. Step 3: Cross multiply
    17,684,751.22x = 24,404,706.70 × 9,949,775.09
  4. Step 4: Simplify right side
    17,684,751.22x = 242,821,342,655,518.16
  5. Step 5: Solve for x
    x = 242,821,342,655,518.16/17,684,751.22
  6. Step 6: Final answer
    x = 13,730,548.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.