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Finding the Fourth Proportional to 10,854.93, 16,273.17 and 10,338.26

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Solution

The fourth proportional to 10,854.93, 16,273.17 and 10,338.26 is: 15,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.93 : 16,273.17 = 10,338.26 : x
  2. Step 2: Convert to fraction form
    10,854.93/16,273.17 = 10,338.26/x
  3. Step 3: Cross multiply
    10,854.93x = 16,273.17 × 10,338.26
  4. Step 4: Simplify right side
    10,854.93x = 168,236,181.12
  5. Step 5: Solve for x
    x = 168,236,181.12/10,854.93
  6. Step 6: Final answer
    x = 15,498.59

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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.