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Finding the Fourth Proportional to 22,614.14, 31,207.88 and 12,543

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Solution

The fourth proportional to 22,614.14, 31,207.88 and 12,543 is: 17,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.14 : 31,207.88 = 12,543 : x
  2. Step 2: Convert to fraction form
    22,614.14/31,207.88 = 12,543/x
  3. Step 3: Cross multiply
    22,614.14x = 31,207.88 × 12,543
  4. Step 4: Simplify right side
    22,614.14x = 391,440,438.84
  5. Step 5: Solve for x
    x = 391,440,438.84/22,614.14
  6. Step 6: Final answer
    x = 17,309.54

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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.