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Finding the Fourth Proportional to 24,164.97, 36,247.08 and 8,381.49

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Solution

The fourth proportional to 24,164.97, 36,247.08 and 8,381.49 is: 12,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164.97 : 36,247.08 = 8,381.49 : x
  2. Step 2: Convert to fraction form
    24,164.97/36,247.08 = 8,381.49/x
  3. Step 3: Cross multiply
    24,164.97x = 36,247.08 × 8,381.49
  4. Step 4: Simplify right side
    24,164.97x = 303,804,538.55
  5. Step 5: Solve for x
    x = 303,804,538.55/24,164.97
  6. Step 6: Final answer
    x = 12,572.10

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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.