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Finding the Fourth Proportional to 13,848.75, 20,773.13 and 4,614.75

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Solution

The fourth proportional to 13,848.75, 20,773.13 and 4,614.75 is: 6,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.75 : 20,773.13 = 4,614.75 : x
  2. Step 2: Convert to fraction form
    13,848.75/20,773.13 = 4,614.75/x
  3. Step 3: Cross multiply
    13,848.75x = 20,773.13 × 4,614.75
  4. Step 4: Simplify right side
    13,848.75x = 95,862,778.59
  5. Step 5: Solve for x
    x = 95,862,778.59/13,848.75
  6. Step 6: Final answer
    x = 6,922.13

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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.