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Finding the Fourth Proportional to 13,542.16, 20,298.92 and 4,654.70

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Solution

The fourth proportional to 13,542.16, 20,298.92 and 4,654.70 is: 6,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.16 : 20,298.92 = 4,654.70 : x
  2. Step 2: Convert to fraction form
    13,542.16/20,298.92 = 4,654.70/x
  3. Step 3: Cross multiply
    13,542.16x = 20,298.92 × 4,654.70
  4. Step 4: Simplify right side
    13,542.16x = 94,485,382.92
  5. Step 5: Solve for x
    x = 94,485,382.92/13,542.16
  6. Step 6: Final answer
    x = 6,977.13

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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.