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Finding the Fourth Proportional to 24,844.50, 34,286.13 and 13,666.50

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Solution

The fourth proportional to 24,844.50, 34,286.13 and 13,666.50 is: 18,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844.50 : 34,286.13 = 13,666.50 : x
  2. Step 2: Convert to fraction form
    24,844.50/34,286.13 = 13,666.50/x
  3. Step 3: Cross multiply
    24,844.50x = 34,286.13 × 13,666.50
  4. Step 4: Simplify right side
    24,844.50x = 468,571,395.65
  5. Step 5: Solve for x
    x = 468,571,395.65/24,844.50
  6. Step 6: Final answer
    x = 18,860.17

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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.