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Finding the Fourth Proportional to 22,947.82, 31,666.05 and 12,874.90

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Solution

The fourth proportional to 22,947.82, 31,666.05 and 12,874.90 is: 17,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.82 : 31,666.05 = 12,874.90 : x
  2. Step 2: Convert to fraction form
    22,947.82/31,666.05 = 12,874.90/x
  3. Step 3: Cross multiply
    22,947.82x = 31,666.05 × 12,874.90
  4. Step 4: Simplify right side
    22,947.82x = 407,697,227.15
  5. Step 5: Solve for x
    x = 407,697,227.15/22,947.82
  6. Step 6: Final answer
    x = 17,766.27

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