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Finding the Fourth Proportional to 13,882.50, 20,825.92 and 4,520.31

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Solution

The fourth proportional to 13,882.50, 20,825.92 and 4,520.31 is: 6,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.50 : 20,825.92 = 4,520.31 : x
  2. Step 2: Convert to fraction form
    13,882.50/20,825.92 = 4,520.31/x
  3. Step 3: Cross multiply
    13,882.50x = 20,825.92 × 4,520.31
  4. Step 4: Simplify right side
    13,882.50x = 94,139,603.13
  5. Step 5: Solve for x
    x = 94,139,603.13/13,882.50
  6. Step 6: Final answer
    x = 6,781.17

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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.