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Finding the Fourth Proportional to 16,206.31, 24,306.35 and 6,843.25

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Solution

The fourth proportional to 16,206.31, 24,306.35 and 6,843.25 is: 10,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.31 : 24,306.35 = 6,843.25 : x
  2. Step 2: Convert to fraction form
    16,206.31/24,306.35 = 6,843.25/x
  3. Step 3: Cross multiply
    16,206.31x = 24,306.35 × 6,843.25
  4. Step 4: Simplify right side
    16,206.31x = 166,334,308.11
  5. Step 5: Solve for x
    x = 166,334,308.11/16,206.31
  6. Step 6: Final answer
    x = 10,263.56

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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.