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Finding the Fourth Proportional to 23,785.98, 32,817.25 and 13,713.13

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Solution

The fourth proportional to 23,785.98, 32,817.25 and 13,713.13 is: 18,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.98 : 32,817.25 = 13,713.13 : x
  2. Step 2: Convert to fraction form
    23,785.98/32,817.25 = 13,713.13/x
  3. Step 3: Cross multiply
    23,785.98x = 32,817.25 × 13,713.13
  4. Step 4: Simplify right side
    23,785.98x = 450,027,215.49
  5. Step 5: Solve for x
    x = 450,027,215.49/23,785.98
  6. Step 6: Final answer
    x = 18,919.85

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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.