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Finding the Fourth Proportional to 22,853.44, 31,539 and 12,781.76

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Solution

The fourth proportional to 22,853.44, 31,539 and 12,781.76 is: 17,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.44 : 31,539 = 12,781.76 : x
  2. Step 2: Convert to fraction form
    22,853.44/31,539 = 12,781.76/x
  3. Step 3: Cross multiply
    22,853.44x = 31,539 × 12,781.76
  4. Step 4: Simplify right side
    22,853.44x = 403,123,928.64
  5. Step 5: Solve for x
    x = 403,123,928.64/22,853.44
  6. Step 6: Final answer
    x = 17,639.53

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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.