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Finding the Fourth Proportional to 10,327.68, 15,456.96 and 9,878.40

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Solution

The fourth proportional to 10,327.68, 15,456.96 and 9,878.40 is: 14,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.68 : 15,456.96 = 9,878.40 : x
  2. Step 2: Convert to fraction form
    10,327.68/15,456.96 = 9,878.40/x
  3. Step 3: Cross multiply
    10,327.68x = 15,456.96 × 9,878.40
  4. Step 4: Simplify right side
    10,327.68x = 152,690,033.66
  5. Step 5: Solve for x
    x = 152,690,033.66/10,327.68
  6. Step 6: Final answer
    x = 14,784.54

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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.