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Finding the Fourth Proportional to 17,947.50, 24,773.14 and 12,280.12

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Solution

The fourth proportional to 17,947.50, 24,773.14 and 12,280.12 is: 16,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.50 : 24,773.14 = 12,280.12 : x
  2. Step 2: Convert to fraction form
    17,947.50/24,773.14 = 12,280.12/x
  3. Step 3: Cross multiply
    17,947.50x = 24,773.14 × 12,280.12
  4. Step 4: Simplify right side
    17,947.50x = 304,217,131.98
  5. Step 5: Solve for x
    x = 304,217,131.98/17,947.50
  6. Step 6: Final answer
    x = 16,950.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.