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Finding the Fourth Proportional to 17,414.38, 24,048.24 and 12,123.66

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Solution

The fourth proportional to 17,414.38, 24,048.24 and 12,123.66 is: 16,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.38 : 24,048.24 = 12,123.66 : x
  2. Step 2: Convert to fraction form
    17,414.38/24,048.24 = 12,123.66/x
  3. Step 3: Cross multiply
    17,414.38x = 24,048.24 × 12,123.66
  4. Step 4: Simplify right side
    17,414.38x = 291,552,685.36
  5. Step 5: Solve for x
    x = 291,552,685.36/17,414.38
  6. Step 6: Final answer
    x = 16,742.07

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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.