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Finding the Fourth Proportional to 12,459.24, 18,685.49 and 6,214.61

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Solution

The fourth proportional to 12,459.24, 18,685.49 and 6,214.61 is: 9,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459.24 : 18,685.49 = 6,214.61 : x
  2. Step 2: Convert to fraction form
    12,459.24/18,685.49 = 6,214.61/x
  3. Step 3: Cross multiply
    12,459.24x = 18,685.49 × 6,214.61
  4. Step 4: Simplify right side
    12,459.24x = 116,123,048.65
  5. Step 5: Solve for x
    x = 116,123,048.65/12,459.24
  6. Step 6: Final answer
    x = 9,320.24

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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.