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Finding the Fourth Proportional to 24,143.70, 36,210.27 and 12,284.90

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Solution

The fourth proportional to 24,143.70, 36,210.27 and 12,284.90 is: 18,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.70 : 36,210.27 = 12,284.90 : x
  2. Step 2: Convert to fraction form
    24,143.70/36,210.27 = 12,284.90/x
  3. Step 3: Cross multiply
    24,143.70x = 36,210.27 × 12,284.90
  4. Step 4: Simplify right side
    24,143.70x = 444,839,546.73
  5. Step 5: Solve for x
    x = 444,839,546.73/24,143.70
  6. Step 6: Final answer
    x = 18,424.66

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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.