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Finding the Fourth Proportional to 24,239.16, 36,364.59 and 8,441.88

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Solution

The fourth proportional to 24,239.16, 36,364.59 and 8,441.88 is: 12,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,239.16 : 36,364.59 = 8,441.88 : x
  2. Step 2: Convert to fraction form
    24,239.16/36,364.59 = 8,441.88/x
  3. Step 3: Cross multiply
    24,239.16x = 36,364.59 × 8,441.88
  4. Step 4: Simplify right side
    24,239.16x = 306,985,505.03
  5. Step 5: Solve for x
    x = 306,985,505.03/24,239.16
  6. Step 6: Final answer
    x = 12,664.86

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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.