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Finding the Fourth Proportional to 17,882.31, 24,679.14 and 9,926.07

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Solution

The fourth proportional to 17,882.31, 24,679.14 and 9,926.07 is: 13,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.31 : 24,679.14 = 9,926.07 : x
  2. Step 2: Convert to fraction form
    17,882.31/24,679.14 = 9,926.07/x
  3. Step 3: Cross multiply
    17,882.31x = 24,679.14 × 9,926.07
  4. Step 4: Simplify right side
    17,882.31x = 244,966,871.18
  5. Step 5: Solve for x
    x = 244,966,871.18/17,882.31
  6. Step 6: Final answer
    x = 13,698.84

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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.