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Finding the Fourth Proportional to 16,987.80, 23,443.31 and 9,912.86

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Solution

The fourth proportional to 16,987.80, 23,443.31 and 9,912.86 is: 13,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987.80 : 23,443.31 = 9,912.86 : x
  2. Step 2: Convert to fraction form
    16,987.80/23,443.31 = 9,912.86/x
  3. Step 3: Cross multiply
    16,987.80x = 23,443.31 × 9,912.86
  4. Step 4: Simplify right side
    16,987.80x = 232,390,157.53
  5. Step 5: Solve for x
    x = 232,390,157.53/16,987.80
  6. Step 6: Final answer
    x = 13,679.83

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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.