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Finding the Fourth Proportional to 16,805.73, 23,191.80 and 9,251.87

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Solution

The fourth proportional to 16,805.73, 23,191.80 and 9,251.87 is: 12,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.73 : 23,191.80 = 9,251.87 : x
  2. Step 2: Convert to fraction form
    16,805.73/23,191.80 = 9,251.87/x
  3. Step 3: Cross multiply
    16,805.73x = 23,191.80 × 9,251.87
  4. Step 4: Simplify right side
    16,805.73x = 214,567,402.71
  5. Step 5: Solve for x
    x = 214,567,402.71/16,805.73
  6. Step 6: Final answer
    x = 12,767.51

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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.