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Finding the Fourth Proportional to 16,591.38, 22,898.28 and 9,516.42

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Solution

The fourth proportional to 16,591.38, 22,898.28 and 9,516.42 is: 13,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.38 : 22,898.28 = 9,516.42 : x
  2. Step 2: Convert to fraction form
    16,591.38/22,898.28 = 9,516.42/x
  3. Step 3: Cross multiply
    16,591.38x = 22,898.28 × 9,516.42
  4. Step 4: Simplify right side
    16,591.38x = 217,909,649.76
  5. Step 5: Solve for x
    x = 217,909,649.76/16,591.38
  6. Step 6: Final answer
    x = 13,133.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.