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Finding the Fourth Proportional to 17,547.74, 24,217.54 and 9,591.16

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Solution

The fourth proportional to 17,547.74, 24,217.54 and 9,591.16 is: 13,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.74 : 24,217.54 = 9,591.16 : x
  2. Step 2: Convert to fraction form
    17,547.74/24,217.54 = 9,591.16/x
  3. Step 3: Cross multiply
    17,547.74x = 24,217.54 × 9,591.16
  4. Step 4: Simplify right side
    17,547.74x = 232,274,179.86
  5. Step 5: Solve for x
    x = 232,274,179.86/17,547.74
  6. Step 6: Final answer
    x = 13,236.70

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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.