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Finding the Fourth Proportional to 13,542.66, 20,322.65 and 5,751.47

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Solution

The fourth proportional to 13,542.66, 20,322.65 and 5,751.47 is: 8,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.66 : 20,322.65 = 5,751.47 : x
  2. Step 2: Convert to fraction form
    13,542.66/20,322.65 = 5,751.47/x
  3. Step 3: Cross multiply
    13,542.66x = 20,322.65 × 5,751.47
  4. Step 4: Simplify right side
    13,542.66x = 116,884,981.42
  5. Step 5: Solve for x
    x = 116,884,981.42/13,542.66
  6. Step 6: Final answer
    x = 8,630.87

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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.