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Finding the Fourth Proportional to 16,103.46, 22,224.16 and 9,031.24

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Solution

The fourth proportional to 16,103.46, 22,224.16 and 9,031.24 is: 12,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.46 : 22,224.16 = 9,031.24 : x
  2. Step 2: Convert to fraction form
    16,103.46/22,224.16 = 9,031.24/x
  3. Step 3: Cross multiply
    16,103.46x = 22,224.16 × 9,031.24
  4. Step 4: Simplify right side
    16,103.46x = 200,711,722.76
  5. Step 5: Solve for x
    x = 200,711,722.76/16,103.46
  6. Step 6: Final answer
    x = 12,463.89

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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.