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Finding the Fourth Proportional to 24,868.14, 37,303.02 and 8,229.12

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Solution

The fourth proportional to 24,868.14, 37,303.02 and 8,229.12 is: 12,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.14 : 37,303.02 = 8,229.12 : x
  2. Step 2: Convert to fraction form
    24,868.14/37,303.02 = 8,229.12/x
  3. Step 3: Cross multiply
    24,868.14x = 37,303.02 × 8,229.12
  4. Step 4: Simplify right side
    24,868.14x = 306,971,027.94
  5. Step 5: Solve for x
    x = 306,971,027.94/24,868.14
  6. Step 6: Final answer
    x = 12,343.95

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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.