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Finding the Fourth Proportional to 16,711.50, 23,062.14 and 9,259.50

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Solution

The fourth proportional to 16,711.50, 23,062.14 and 9,259.50 is: 12,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.50 : 23,062.14 = 9,259.50 : x
  2. Step 2: Convert to fraction form
    16,711.50/23,062.14 = 9,259.50/x
  3. Step 3: Cross multiply
    16,711.50x = 23,062.14 × 9,259.50
  4. Step 4: Simplify right side
    16,711.50x = 213,543,885.33
  5. Step 5: Solve for x
    x = 213,543,885.33/16,711.50
  6. Step 6: Final answer
    x = 12,778.26

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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.