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Finding the Fourth Proportional to 22,947.59, 31,669.31 and 12,877

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Solution

The fourth proportional to 22,947.59, 31,669.31 and 12,877 is: 17,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.59 : 31,669.31 = 12,877 : x
  2. Step 2: Convert to fraction form
    22,947.59/31,669.31 = 12,877/x
  3. Step 3: Cross multiply
    22,947.59x = 31,669.31 × 12,877
  4. Step 4: Simplify right side
    22,947.59x = 407,805,704.87
  5. Step 5: Solve for x
    x = 407,805,704.87/22,947.59
  6. Step 6: Final answer
    x = 17,771.18

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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.