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Finding the Fourth Proportional to 18,003.16, 24,842.46 and 10,927

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Solution

The fourth proportional to 18,003.16, 24,842.46 and 10,927 is: 15,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,003.16 : 24,842.46 = 10,927 : x
  2. Step 2: Convert to fraction form
    18,003.16/24,842.46 = 10,927/x
  3. Step 3: Cross multiply
    18,003.16x = 24,842.46 × 10,927
  4. Step 4: Simplify right side
    18,003.16x = 271,453,560.42
  5. Step 5: Solve for x
    x = 271,453,560.42/18,003.16
  6. Step 6: Final answer
    x = 15,078.11

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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.