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Finding the Fourth Proportional to 24,116.40, 36,164.88 and 10,067.22

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Solution

The fourth proportional to 24,116.40, 36,164.88 and 10,067.22 is: 15,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.40 : 36,164.88 = 10,067.22 : x
  2. Step 2: Convert to fraction form
    24,116.40/36,164.88 = 10,067.22/x
  3. Step 3: Cross multiply
    24,116.40x = 36,164.88 × 10,067.22
  4. Step 4: Simplify right side
    24,116.40x = 364,079,803.23
  5. Step 5: Solve for x
    x = 364,079,803.23/24,116.40
  6. Step 6: Final answer
    x = 15,096.77

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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.