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Finding the Fourth Proportional to 13,414.80, 20,124.90 and 4,647.90

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Solution

The fourth proportional to 13,414.80, 20,124.90 and 4,647.90 is: 6,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.80 : 20,124.90 = 4,647.90 : x
  2. Step 2: Convert to fraction form
    13,414.80/20,124.90 = 4,647.90/x
  3. Step 3: Cross multiply
    13,414.80x = 20,124.90 × 4,647.90
  4. Step 4: Simplify right side
    13,414.80x = 93,538,522.71
  5. Step 5: Solve for x
    x = 93,538,522.71/13,414.80
  6. Step 6: Final answer
    x = 6,972.79

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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.