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Finding the Fourth Proportional to 24,164.36, 36,251.40 and 8,583.20

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Solution

The fourth proportional to 24,164.36, 36,251.40 and 8,583.20 is: 12,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164.36 : 36,251.40 = 8,583.20 : x
  2. Step 2: Convert to fraction form
    24,164.36/36,251.40 = 8,583.20/x
  3. Step 3: Cross multiply
    24,164.36x = 36,251.40 × 8,583.20
  4. Step 4: Simplify right side
    24,164.36x = 311,153,016.48
  5. Step 5: Solve for x
    x = 311,153,016.48/24,164.36
  6. Step 6: Final answer
    x = 12,876.53

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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.