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Finding the Fourth Proportional to 13,422.83, 20,097.14 and 10,125.92

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Solution

The fourth proportional to 13,422.83, 20,097.14 and 10,125.92 is: 15,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.83 : 20,097.14 = 10,125.92 : x
  2. Step 2: Convert to fraction form
    13,422.83/20,097.14 = 10,125.92/x
  3. Step 3: Cross multiply
    13,422.83x = 20,097.14 × 10,125.92
  4. Step 4: Simplify right side
    13,422.83x = 203,501,880.75
  5. Step 5: Solve for x
    x = 203,501,880.75/13,422.83
  6. Step 6: Final answer
    x = 15,160.88

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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.