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Finding the Fourth Proportional to 24,125, 36,171.98 and 10,081.26

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Solution

The fourth proportional to 24,125, 36,171.98 and 10,081.26 is: 15,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,125 : 36,171.98 = 10,081.26 : x
  2. Step 2: Convert to fraction form
    24,125/36,171.98 = 10,081.26/x
  3. Step 3: Cross multiply
    24,125x = 36,171.98 × 10,081.26
  4. Step 4: Simplify right side
    24,125x = 364,659,135.09
  5. Step 5: Solve for x
    x = 364,659,135.09/24,125
  6. Step 6: Final answer
    x = 15,115.40

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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.