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Finding the Fourth Proportional to 15,224.31, 21,013.70 and 8,938.71

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Solution

The fourth proportional to 15,224.31, 21,013.70 and 8,938.71 is: 12,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.31 : 21,013.70 = 8,938.71 : x
  2. Step 2: Convert to fraction form
    15,224.31/21,013.70 = 8,938.71/x
  3. Step 3: Cross multiply
    15,224.31x = 21,013.70 × 8,938.71
  4. Step 4: Simplify right side
    15,224.31x = 187,835,325.63
  5. Step 5: Solve for x
    x = 187,835,325.63/15,224.31
  6. Step 6: Final answer
    x = 12,337.85

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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.