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Finding the Fourth Proportional to 11,618.40, 15,996.24 and 9,847.20

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Solution

The fourth proportional to 11,618.40, 15,996.24 and 9,847.20 is: 13,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.40 : 15,996.24 = 9,847.20 : x
  2. Step 2: Convert to fraction form
    11,618.40/15,996.24 = 9,847.20/x
  3. Step 3: Cross multiply
    11,618.40x = 15,996.24 × 9,847.20
  4. Step 4: Simplify right side
    11,618.40x = 157,518,174.53
  5. Step 5: Solve for x
    x = 157,518,174.53/11,618.40
  6. Step 6: Final answer
    x = 13,557.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.