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Finding the Fourth Proportional to 12,123.46, 16,712.31 and 7,404.58

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Solution

The fourth proportional to 12,123.46, 16,712.31 and 7,404.58 is: 10,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.46 : 16,712.31 = 7,404.58 : x
  2. Step 2: Convert to fraction form
    12,123.46/16,712.31 = 7,404.58/x
  3. Step 3: Cross multiply
    12,123.46x = 16,712.31 × 7,404.58
  4. Step 4: Simplify right side
    12,123.46x = 123,747,636.38
  5. Step 5: Solve for x
    x = 123,747,636.38/12,123.46
  6. Step 6: Final answer
    x = 10,207.29

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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.