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Finding the Fourth Proportional to 17,947.51, 24,773.15 and 12,280.12

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Solution

The fourth proportional to 17,947.51, 24,773.15 and 12,280.12 is: 16,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.51 : 24,773.15 = 12,280.12 : x
  2. Step 2: Convert to fraction form
    17,947.51/24,773.15 = 12,280.12/x
  3. Step 3: Cross multiply
    17,947.51x = 24,773.15 × 12,280.12
  4. Step 4: Simplify right side
    17,947.51x = 304,217,254.78
  5. Step 5: Solve for x
    x = 304,217,254.78/17,947.51
  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.