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Finding the Fourth Proportional to 13,517.64, 18,632.04 and 9,039.78

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Solution

The fourth proportional to 13,517.64, 18,632.04 and 9,039.78 is: 12,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.64 : 18,632.04 = 9,039.78 : x
  2. Step 2: Convert to fraction form
    13,517.64/18,632.04 = 9,039.78/x
  3. Step 3: Cross multiply
    13,517.64x = 18,632.04 × 9,039.78
  4. Step 4: Simplify right side
    13,517.64x = 168,429,542.55
  5. Step 5: Solve for x
    x = 168,429,542.55/13,517.64
  6. Step 6: Final answer
    x = 12,459.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.