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Finding the Fourth Proportional to 17,705.43, 24,432.55 and 9,746.12

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Solution

The fourth proportional to 17,705.43, 24,432.55 and 9,746.12 is: 13,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.43 : 24,432.55 = 9,746.12 : x
  2. Step 2: Convert to fraction form
    17,705.43/24,432.55 = 9,746.12/x
  3. Step 3: Cross multiply
    17,705.43x = 24,432.55 × 9,746.12
  4. Step 4: Simplify right side
    17,705.43x = 238,122,564.21
  5. Step 5: Solve for x
    x = 238,122,564.21/17,705.43
  6. Step 6: Final answer
    x = 13,449.13

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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.