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Finding the Fourth Proportional to 13,659.52, 20,499 and 10,542.64

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Solution

The fourth proportional to 13,659.52, 20,499 and 10,542.64 is: 15,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.52 : 20,499 = 10,542.64 : x
  2. Step 2: Convert to fraction form
    13,659.52/20,499 = 10,542.64/x
  3. Step 3: Cross multiply
    13,659.52x = 20,499 × 10,542.64
  4. Step 4: Simplify right side
    13,659.52x = 216,113,577.36
  5. Step 5: Solve for x
    x = 216,113,577.36/13,659.52
  6. Step 6: Final answer
    x = 15,821.46

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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.