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Finding the Fourth Proportional to 16,224.32, 24,342.84 and 6,361.91

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Solution

The fourth proportional to 16,224.32, 24,342.84 and 6,361.91 is: 9,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.32 : 24,342.84 = 6,361.91 : x
  2. Step 2: Convert to fraction form
    16,224.32/24,342.84 = 6,361.91/x
  3. Step 3: Cross multiply
    16,224.32x = 24,342.84 × 6,361.91
  4. Step 4: Simplify right side
    16,224.32x = 154,866,957.22
  5. Step 5: Solve for x
    x = 154,866,957.22/16,224.32
  6. Step 6: Final answer
    x = 9,545.36

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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.