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Finding the Fourth Proportional to 24,193.32, 36,286.46 and 7,549.48

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Solution

The fourth proportional to 24,193.32, 36,286.46 and 7,549.48 is: 11,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.32 : 36,286.46 = 7,549.48 : x
  2. Step 2: Convert to fraction form
    24,193.32/36,286.46 = 7,549.48/x
  3. Step 3: Cross multiply
    24,193.32x = 36,286.46 × 7,549.48
  4. Step 4: Simplify right side
    24,193.32x = 273,943,904.04
  5. Step 5: Solve for x
    x = 273,943,904.04/24,193.32
  6. Step 6: Final answer
    x = 11,323.12

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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.