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Finding the Fourth Proportional to 21,332, 29,438.96 and 11,902.38

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Solution

The fourth proportional to 21,332, 29,438.96 and 11,902.38 is: 16,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332 : 29,438.96 = 11,902.38 : x
  2. Step 2: Convert to fraction form
    21,332/29,438.96 = 11,902.38/x
  3. Step 3: Cross multiply
    21,332x = 29,438.96 × 11,902.38
  4. Step 4: Simplify right side
    21,332x = 350,393,688.72
  5. Step 5: Solve for x
    x = 350,393,688.72/21,332
  6. Step 6: Final answer
    x = 16,425.73

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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.