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Finding the Fourth Proportional to 16,148.17, 24,222.21 and 4,461.31

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Solution

The fourth proportional to 16,148.17, 24,222.21 and 4,461.31 is: 6,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.17 : 24,222.21 = 4,461.31 : x
  2. Step 2: Convert to fraction form
    16,148.17/24,222.21 = 4,461.31/x
  3. Step 3: Cross multiply
    16,148.17x = 24,222.21 × 4,461.31
  4. Step 4: Simplify right side
    16,148.17x = 108,062,787.70
  5. Step 5: Solve for x
    x = 108,062,787.70/16,148.17
  6. Step 6: Final answer
    x = 6,691.95

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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.