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Finding the Fourth Proportional to 17,751.80, 24,497.43 and 9,794.90

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Solution

The fourth proportional to 17,751.80, 24,497.43 and 9,794.90 is: 13,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.80 : 24,497.43 = 9,794.90 : x
  2. Step 2: Convert to fraction form
    17,751.80/24,497.43 = 9,794.90/x
  3. Step 3: Cross multiply
    17,751.80x = 24,497.43 × 9,794.90
  4. Step 4: Simplify right side
    17,751.80x = 239,949,877.11
  5. Step 5: Solve for x
    x = 239,949,877.11/17,751.80
  6. Step 6: Final answer
    x = 13,516.93

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1.5x scale

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.