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Finding the Fourth Proportional to 13,414.11, 20,124.65 and 5,094.17

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Solution

The fourth proportional to 13,414.11, 20,124.65 and 5,094.17 is: 7,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.11 : 20,124.65 = 5,094.17 : x
  2. Step 2: Convert to fraction form
    13,414.11/20,124.65 = 5,094.17/x
  3. Step 3: Cross multiply
    13,414.11x = 20,124.65 × 5,094.17
  4. Step 4: Simplify right side
    13,414.11x = 102,518,388.29
  5. Step 5: Solve for x
    x = 102,518,388.29/13,414.11
  6. Step 6: Final answer
    x = 7,642.58

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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.