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Finding the Fourth Proportional to 24,447.56, 36,678.72 and 10,222.95

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Solution

The fourth proportional to 24,447.56, 36,678.72 and 10,222.95 is: 15,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.56 : 36,678.72 = 10,222.95 : x
  2. Step 2: Convert to fraction form
    24,447.56/36,678.72 = 10,222.95/x
  3. Step 3: Cross multiply
    24,447.56x = 36,678.72 × 10,222.95
  4. Step 4: Simplify right side
    24,447.56x = 374,964,720.62
  5. Step 5: Solve for x
    x = 374,964,720.62/24,447.56
  6. Step 6: Final answer
    x = 15,337.51

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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.