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Finding the Fourth Proportional to 17,839.84, 24,618.98 and 9,882.58

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Solution

The fourth proportional to 17,839.84, 24,618.98 and 9,882.58 is: 13,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.84 : 24,618.98 = 9,882.58 : x
  2. Step 2: Convert to fraction form
    17,839.84/24,618.98 = 9,882.58/x
  3. Step 3: Cross multiply
    17,839.84x = 24,618.98 × 9,882.58
  4. Step 4: Simplify right side
    17,839.84x = 243,299,039.37
  5. Step 5: Solve for x
    x = 243,299,039.37/17,839.84
  6. Step 6: Final answer
    x = 13,637.96

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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.