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Finding the Fourth Proportional to 17,432.19, 24,057.53 and 9,776.17

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Solution

The fourth proportional to 17,432.19, 24,057.53 and 9,776.17 is: 13,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.19 : 24,057.53 = 9,776.17 : x
  2. Step 2: Convert to fraction form
    17,432.19/24,057.53 = 9,776.17/x
  3. Step 3: Cross multiply
    17,432.19x = 24,057.53 × 9,776.17
  4. Step 4: Simplify right side
    17,432.19x = 235,190,520.91
  5. Step 5: Solve for x
    x = 235,190,520.91/17,432.19
  6. Step 6: Final answer
    x = 13,491.74

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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.