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Finding the Fourth Proportional to 17,839.56, 24,619.68 and 9,882.84

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Solution

The fourth proportional to 17,839.56, 24,619.68 and 9,882.84 is: 13,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.56 : 24,619.68 = 9,882.84 : x
  2. Step 2: Convert to fraction form
    17,839.56/24,619.68 = 9,882.84/x
  3. Step 3: Cross multiply
    17,839.56x = 24,619.68 × 9,882.84
  4. Step 4: Simplify right side
    17,839.56x = 243,312,358.29
  5. Step 5: Solve for x
    x = 243,312,358.29/17,839.56
  6. Step 6: Final answer
    x = 13,638.92

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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.