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Finding the Fourth Proportional to 21,311.74, 29,398.14 and 13,340.12

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Solution

The fourth proportional to 21,311.74, 29,398.14 and 13,340.12 is: 18,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.74 : 29,398.14 = 13,340.12 : x
  2. Step 2: Convert to fraction form
    21,311.74/29,398.14 = 13,340.12/x
  3. Step 3: Cross multiply
    21,311.74x = 29,398.14 × 13,340.12
  4. Step 4: Simplify right side
    21,311.74x = 392,174,715.38
  5. Step 5: Solve for x
    x = 392,174,715.38/21,311.74
  6. Step 6: Final answer
    x = 18,401.82

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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.