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Finding the Fourth Proportional to 13,460.14, 20,177.73 and 12,352.78

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Solution

The fourth proportional to 13,460.14, 20,177.73 and 12,352.78 is: 18,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.14 : 20,177.73 = 12,352.78 : x
  2. Step 2: Convert to fraction form
    13,460.14/20,177.73 = 12,352.78/x
  3. Step 3: Cross multiply
    13,460.14x = 20,177.73 × 12,352.78
  4. Step 4: Simplify right side
    13,460.14x = 249,251,059.59
  5. Step 5: Solve for x
    x = 249,251,059.59/13,460.14
  6. Step 6: Final answer
    x = 18,517.72

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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.