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Finding the Fourth Proportional to 13,414.94, 20,115.89 and 4,053.16

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Solution

The fourth proportional to 13,414.94, 20,115.89 and 4,053.16 is: 6,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.94 : 20,115.89 = 4,053.16 : x
  2. Step 2: Convert to fraction form
    13,414.94/20,115.89 = 4,053.16/x
  3. Step 3: Cross multiply
    13,414.94x = 20,115.89 × 4,053.16
  4. Step 4: Simplify right side
    13,414.94x = 81,532,920.71
  5. Step 5: Solve for x
    x = 81,532,920.71/13,414.94
  6. Step 6: Final answer
    x = 6,077.77

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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.