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Finding the Fourth Proportional to 24,434.73, 36,658.42 and 6,904.56

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Solution

The fourth proportional to 24,434.73, 36,658.42 and 6,904.56 is: 10,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.73 : 36,658.42 = 6,904.56 : x
  2. Step 2: Convert to fraction form
    24,434.73/36,658.42 = 6,904.56/x
  3. Step 3: Cross multiply
    24,434.73x = 36,658.42 × 6,904.56
  4. Step 4: Simplify right side
    24,434.73x = 253,110,174.40
  5. Step 5: Solve for x
    x = 253,110,174.40/24,434.73
  6. Step 6: Final answer
    x = 10,358.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.