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Finding the Fourth Proportional to 23,809.82, 35,713.31 and 7,169.45

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Solution

The fourth proportional to 23,809.82, 35,713.31 and 7,169.45 is: 10,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.82 : 35,713.31 = 7,169.45 : x
  2. Step 2: Convert to fraction form
    23,809.82/35,713.31 = 7,169.45/x
  3. Step 3: Cross multiply
    23,809.82x = 35,713.31 × 7,169.45
  4. Step 4: Simplify right side
    23,809.82x = 256,044,575.97
  5. Step 5: Solve for x
    x = 256,044,575.97/23,809.82
  6. Step 6: Final answer
    x = 10,753.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.