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Finding the Fourth Proportional to 17,472.14, 24,117.64 and 10,398.42

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Solution

The fourth proportional to 17,472.14, 24,117.64 and 10,398.42 is: 14,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472.14 : 24,117.64 = 10,398.42 : x
  2. Step 2: Convert to fraction form
    17,472.14/24,117.64 = 10,398.42/x
  3. Step 3: Cross multiply
    17,472.14x = 24,117.64 × 10,398.42
  4. Step 4: Simplify right side
    17,472.14x = 250,785,350.13
  5. Step 5: Solve for x
    x = 250,785,350.13/17,472.14
  6. Step 6: Final answer
    x = 14,353.44

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1.5x scale

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.