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Finding the Fourth Proportional to 10,854.87, 16,273.08 and 10,338.20

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Solution

The fourth proportional to 10,854.87, 16,273.08 and 10,338.20 is: 15,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.87 : 16,273.08 = 10,338.20 : x
  2. Step 2: Convert to fraction form
    10,854.87/16,273.08 = 10,338.20/x
  3. Step 3: Cross multiply
    10,854.87x = 16,273.08 × 10,338.20
  4. Step 4: Simplify right side
    10,854.87x = 168,234,222.60
  5. Step 5: Solve for x
    x = 168,234,222.60/10,854.87
  6. Step 6: Final answer
    x = 15,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.