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Finding the Fourth Proportional to 16,275.76, 24,397.18 and 6,411.20

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Solution

The fourth proportional to 16,275.76, 24,397.18 and 6,411.20 is: 9,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.76 : 24,397.18 = 6,411.20 : x
  2. Step 2: Convert to fraction form
    16,275.76/24,397.18 = 6,411.20/x
  3. Step 3: Cross multiply
    16,275.76x = 24,397.18 × 6,411.20
  4. Step 4: Simplify right side
    16,275.76x = 156,415,200.42
  5. Step 5: Solve for x
    x = 156,415,200.42/16,275.76
  6. Step 6: Final answer
    x = 9,610.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.