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Finding the Fourth Proportional to 12,538.40, 18,829.20 and 8,866.40

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Solution

The fourth proportional to 12,538.40, 18,829.20 and 8,866.40 is: 13,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.40 : 18,829.20 = 8,866.40 : x
  2. Step 2: Convert to fraction form
    12,538.40/18,829.20 = 8,866.40/x
  3. Step 3: Cross multiply
    12,538.40x = 18,829.20 × 8,866.40
  4. Step 4: Simplify right side
    12,538.40x = 166,947,218.88
  5. Step 5: Solve for x
    x = 166,947,218.88/12,538.40
  6. Step 6: Final answer
    x = 13,314.87

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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.