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Finding the Fourth Proportional to 12,486.40, 18,743.68 and 7,872

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Solution

The fourth proportional to 12,486.40, 18,743.68 and 7,872 is: 11,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.40 : 18,743.68 = 7,872 : x
  2. Step 2: Convert to fraction form
    12,486.40/18,743.68 = 7,872/x
  3. Step 3: Cross multiply
    12,486.40x = 18,743.68 × 7,872
  4. Step 4: Simplify right side
    12,486.40x = 147,550,248.96
  5. Step 5: Solve for x
    x = 147,550,248.96/12,486.40
  6. Step 6: Final answer
    x = 11,816.88

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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.