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Finding the Fourth Proportional to 10,182.96, 15,248.52 and 9,327.60

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Solution

The fourth proportional to 10,182.96, 15,248.52 and 9,327.60 is: 13,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.96 : 15,248.52 = 9,327.60 : x
  2. Step 2: Convert to fraction form
    10,182.96/15,248.52 = 9,327.60/x
  3. Step 3: Cross multiply
    10,182.96x = 15,248.52 × 9,327.60
  4. Step 4: Simplify right side
    10,182.96x = 142,232,095.15
  5. Step 5: Solve for x
    x = 142,232,095.15/10,182.96
  6. Step 6: Final answer
    x = 13,967.66

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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.