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Finding the Fourth Proportional to 17,597.32, 24,284.34 and 9,531

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Solution

The fourth proportional to 17,597.32, 24,284.34 and 9,531 is: 13,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.32 : 24,284.34 = 9,531 : x
  2. Step 2: Convert to fraction form
    17,597.32/24,284.34 = 9,531/x
  3. Step 3: Cross multiply
    17,597.32x = 24,284.34 × 9,531
  4. Step 4: Simplify right side
    17,597.32x = 231,454,044.54
  5. Step 5: Solve for x
    x = 231,454,044.54/17,597.32
  6. Step 6: Final answer
    x = 13,152.80

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