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Finding the Fourth Proportional to 17,657.92, 24,368.16 and 9,701.02

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Solution

The fourth proportional to 17,657.92, 24,368.16 and 9,701.02 is: 13,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.92 : 24,368.16 = 9,701.02 : x
  2. Step 2: Convert to fraction form
    17,657.92/24,368.16 = 9,701.02/x
  3. Step 3: Cross multiply
    17,657.92x = 24,368.16 × 9,701.02
  4. Step 4: Simplify right side
    17,657.92x = 236,396,007.52
  5. Step 5: Solve for x
    x = 236,396,007.52/17,657.92
  6. Step 6: Final answer
    x = 13,387.53

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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.