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Finding the Fourth Proportional to 16,439.16, 24,640.22 and 8,101.52

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Solution

The fourth proportional to 16,439.16, 24,640.22 and 8,101.52 is: 12,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.16 : 24,640.22 = 8,101.52 : x
  2. Step 2: Convert to fraction form
    16,439.16/24,640.22 = 8,101.52/x
  3. Step 3: Cross multiply
    16,439.16x = 24,640.22 × 8,101.52
  4. Step 4: Simplify right side
    16,439.16x = 199,623,071.43
  5. Step 5: Solve for x
    x = 199,623,071.43/16,439.16
  6. Step 6: Final answer
    x = 12,143.14

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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.