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Finding the Fourth Proportional to 17,882.48, 24,680.75 and 9,927.27

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Solution

The fourth proportional to 17,882.48, 24,680.75 and 9,927.27 is: 13,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.48 : 24,680.75 = 9,927.27 : x
  2. Step 2: Convert to fraction form
    17,882.48/24,680.75 = 9,927.27/x
  3. Step 3: Cross multiply
    17,882.48x = 24,680.75 × 9,927.27
  4. Step 4: Simplify right side
    17,882.48x = 245,012,419.42
  5. Step 5: Solve for x
    x = 245,012,419.42/17,882.48
  6. Step 6: Final answer
    x = 13,701.26

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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.