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Finding the Fourth Proportional to 16,086.33, 24,129.50 and 9,146.25

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Solution

The fourth proportional to 16,086.33, 24,129.50 and 9,146.25 is: 13,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.33 : 24,129.50 = 9,146.25 : x
  2. Step 2: Convert to fraction form
    16,086.33/24,129.50 = 9,146.25/x
  3. Step 3: Cross multiply
    16,086.33x = 24,129.50 × 9,146.25
  4. Step 4: Simplify right side
    16,086.33x = 220,694,393.64
  5. Step 5: Solve for x
    x = 220,694,393.64/16,086.33
  6. Step 6: Final answer
    x = 13,719.38

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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.