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Finding the Fourth Proportional to 16,165.95, 24,258.30 and 6,805.38

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Solution

The fourth proportional to 16,165.95, 24,258.30 and 6,805.38 is: 10,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.95 : 24,258.30 = 6,805.38 : x
  2. Step 2: Convert to fraction form
    16,165.95/24,258.30 = 6,805.38/x
  3. Step 3: Cross multiply
    16,165.95x = 24,258.30 × 6,805.38
  4. Step 4: Simplify right side
    16,165.95x = 165,086,949.65
  5. Step 5: Solve for x
    x = 165,086,949.65/16,165.95
  6. Step 6: Final answer
    x = 10,212.02

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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.