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Finding the Fourth Proportional to 17,602, 24,284.78 and 10,042.90

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Solution

The fourth proportional to 17,602, 24,284.78 and 10,042.90 is: 13,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602 : 24,284.78 = 10,042.90 : x
  2. Step 2: Convert to fraction form
    17,602/24,284.78 = 10,042.90/x
  3. Step 3: Cross multiply
    17,602x = 24,284.78 × 10,042.90
  4. Step 4: Simplify right side
    17,602x = 243,889,617.06
  5. Step 5: Solve for x
    x = 243,889,617.06/17,602
  6. Step 6: Final answer
    x = 13,855.79

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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.