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Finding the Fourth Proportional to 23,780.98, 32,817.90 and 13,170.76

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Solution

The fourth proportional to 23,780.98, 32,817.90 and 13,170.76 is: 18,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.98 : 32,817.90 = 13,170.76 : x
  2. Step 2: Convert to fraction form
    23,780.98/32,817.90 = 13,170.76/x
  3. Step 3: Cross multiply
    23,780.98x = 32,817.90 × 13,170.76
  4. Step 4: Simplify right side
    23,780.98x = 432,236,684.60
  5. Step 5: Solve for x
    x = 432,236,684.60/23,780.98
  6. Step 6: Final answer
    x = 18,175.73

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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.