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Finding the Fourth Proportional to 17,597.71, 24,285.51 and 10,045.27

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Solution

The fourth proportional to 17,597.71, 24,285.51 and 10,045.27 is: 13,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.71 : 24,285.51 = 10,045.27 : x
  2. Step 2: Convert to fraction form
    17,597.71/24,285.51 = 10,045.27/x
  3. Step 3: Cross multiply
    17,597.71x = 24,285.51 × 10,045.27
  4. Step 4: Simplify right side
    17,597.71x = 243,954,333.38
  5. Step 5: Solve for x
    x = 243,954,333.38/17,597.71
  6. Step 6: Final answer
    x = 13,862.85

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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.