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Finding the Fourth Proportional to 16,711.80, 23,064.60 and 9,638.07

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Solution

The fourth proportional to 16,711.80, 23,064.60 and 9,638.07 is: 13,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.80 : 23,064.60 = 9,638.07 : x
  2. Step 2: Convert to fraction form
    16,711.80/23,064.60 = 9,638.07/x
  3. Step 3: Cross multiply
    16,711.80x = 23,064.60 × 9,638.07
  4. Step 4: Simplify right side
    16,711.80x = 222,298,229.32
  5. Step 5: Solve for x
    x = 222,298,229.32/16,711.80
  6. Step 6: Final answer
    x = 13,301.87

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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.