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Finding the Fourth Proportional to 24,223.62, 36,334.40 and 8,432.24

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Solution

The fourth proportional to 24,223.62, 36,334.40 and 8,432.24 is: 12,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.62 : 36,334.40 = 8,432.24 : x
  2. Step 2: Convert to fraction form
    24,223.62/36,334.40 = 8,432.24/x
  3. Step 3: Cross multiply
    24,223.62x = 36,334.40 × 8,432.24
  4. Step 4: Simplify right side
    24,223.62x = 306,380,381.06
  5. Step 5: Solve for x
    x = 306,380,381.06/24,223.62
  6. Step 6: Final answer
    x = 12,648.00

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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.