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Finding the Fourth Proportional to 13,414.69, 20,125.68 and 4,650.29

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Solution

The fourth proportional to 13,414.69, 20,125.68 and 4,650.29 is: 6,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.69 : 20,125.68 = 4,650.29 : x
  2. Step 2: Convert to fraction form
    13,414.69/20,125.68 = 4,650.29/x
  3. Step 3: Cross multiply
    13,414.69x = 20,125.68 × 4,650.29
  4. Step 4: Simplify right side
    13,414.69x = 93,590,248.45
  5. Step 5: Solve for x
    x = 93,590,248.45/13,414.69
  6. Step 6: Final answer
    x = 6,976.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.