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Finding the Fourth Proportional to 24,179.67, 36,283.91 and 13,086.14

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Solution

The fourth proportional to 24,179.67, 36,283.91 and 13,086.14 is: 19,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.67 : 36,283.91 = 13,086.14 : x
  2. Step 2: Convert to fraction form
    24,179.67/36,283.91 = 13,086.14/x
  3. Step 3: Cross multiply
    24,179.67x = 36,283.91 × 13,086.14
  4. Step 4: Simplify right side
    24,179.67x = 474,816,079.16
  5. Step 5: Solve for x
    x = 474,816,079.16/24,179.67
  6. Step 6: Final answer
    x = 19,637.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.