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Finding the Fourth Proportional to 20,046.16, 30,083.82 and 8,965.36

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Solution

The fourth proportional to 20,046.16, 30,083.82 and 8,965.36 is: 13,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.16 : 30,083.82 = 8,965.36 : x
  2. Step 2: Convert to fraction form
    20,046.16/30,083.82 = 8,965.36/x
  3. Step 3: Cross multiply
    20,046.16x = 30,083.82 × 8,965.36
  4. Step 4: Simplify right side
    20,046.16x = 269,712,081.23
  5. Step 5: Solve for x
    x = 269,712,081.23/20,046.16
  6. Step 6: Final answer
    x = 13,454.55

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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.