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Finding the Fourth Proportional to 16,031.16, 22,129.17 and 14,349.60

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Solution

The fourth proportional to 16,031.16, 22,129.17 and 14,349.60 is: 19,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.16 : 22,129.17 = 14,349.60 : x
  2. Step 2: Convert to fraction form
    16,031.16/22,129.17 = 14,349.60/x
  3. Step 3: Cross multiply
    16,031.16x = 22,129.17 × 14,349.60
  4. Step 4: Simplify right side
    16,031.16x = 317,544,737.83
  5. Step 5: Solve for x
    x = 317,544,737.83/16,031.16
  6. Step 6: Final answer
    x = 19,807.97

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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.