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Finding the Fourth Proportional to 13,717.52, 20,572.02 and 4,951.30

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Solution

The fourth proportional to 13,717.52, 20,572.02 and 4,951.30 is: 7,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.52 : 20,572.02 = 4,951.30 : x
  2. Step 2: Convert to fraction form
    13,717.52/20,572.02 = 4,951.30/x
  3. Step 3: Cross multiply
    13,717.52x = 20,572.02 × 4,951.30
  4. Step 4: Simplify right side
    13,717.52x = 101,858,242.63
  5. Step 5: Solve for x
    x = 101,858,242.63/13,717.52
  6. Step 6: Final answer
    x = 7,425.41

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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.