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Finding the Fourth Proportional to 12,562.49, 18,844.14 and 6,319.10

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Solution

The fourth proportional to 12,562.49, 18,844.14 and 6,319.10 is: 9,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.49 : 18,844.14 = 6,319.10 : x
  2. Step 2: Convert to fraction form
    12,562.49/18,844.14 = 6,319.10/x
  3. Step 3: Cross multiply
    12,562.49x = 18,844.14 × 6,319.10
  4. Step 4: Simplify right side
    12,562.49x = 119,077,910.85
  5. Step 5: Solve for x
    x = 119,077,910.85/12,562.49
  6. Step 6: Final answer
    x = 9,478.85

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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.