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Finding the Fourth Proportional to 12,564.15, 18,829.80 and 6,331.20

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Solution

The fourth proportional to 12,564.15, 18,829.80 and 6,331.20 is: 9,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.15 : 18,829.80 = 6,331.20 : x
  2. Step 2: Convert to fraction form
    12,564.15/18,829.80 = 6,331.20/x
  3. Step 3: Cross multiply
    12,564.15x = 18,829.80 × 6,331.20
  4. Step 4: Simplify right side
    12,564.15x = 119,215,229.76
  5. Step 5: Solve for x
    x = 119,215,229.76/12,564.15
  6. Step 6: Final answer
    x = 9,488.52

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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.