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Finding the Fourth Proportional to 16,987.58, 23,446.31 and 9,817.80

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Solution

The fourth proportional to 16,987.58, 23,446.31 and 9,817.80 is: 13,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987.58 : 23,446.31 = 9,817.80 : x
  2. Step 2: Convert to fraction form
    16,987.58/23,446.31 = 9,817.80/x
  3. Step 3: Cross multiply
    16,987.58x = 23,446.31 × 9,817.80
  4. Step 4: Simplify right side
    16,987.58x = 230,191,133.23
  5. Step 5: Solve for x
    x = 230,191,133.23/16,987.58
  6. Step 6: Final answer
    x = 13,550.56

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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.