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Finding the Fourth Proportional to 14,882.70, 22,324.05 and 12,578.70

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Solution

The fourth proportional to 14,882.70, 22,324.05 and 12,578.70 is: 18,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.70 : 22,324.05 = 12,578.70 : x
  2. Step 2: Convert to fraction form
    14,882.70/22,324.05 = 12,578.70/x
  3. Step 3: Cross multiply
    14,882.70x = 22,324.05 × 12,578.70
  4. Step 4: Simplify right side
    14,882.70x = 280,807,527.74
  5. Step 5: Solve for x
    x = 280,807,527.74/14,882.70
  6. Step 6: Final answer
    x = 18,868.05

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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.