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Finding the Fourth Proportional to 23,535.98, 32,480.05 and 12,780.88

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Solution

The fourth proportional to 23,535.98, 32,480.05 and 12,780.88 is: 17,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.98 : 32,480.05 = 12,780.88 : x
  2. Step 2: Convert to fraction form
    23,535.98/32,480.05 = 12,780.88/x
  3. Step 3: Cross multiply
    23,535.98x = 32,480.05 × 12,780.88
  4. Step 4: Simplify right side
    23,535.98x = 415,123,621.44
  5. Step 5: Solve for x
    x = 415,123,621.44/23,535.98
  6. Step 6: Final answer
    x = 17,637.83

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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.