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Finding the Fourth Proportional to 10,965.20, 16,415.40 and 10,324.40

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Solution

The fourth proportional to 10,965.20, 16,415.40 and 10,324.40 is: 15,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.20 : 16,415.40 = 10,324.40 : x
  2. Step 2: Convert to fraction form
    10,965.20/16,415.40 = 10,324.40/x
  3. Step 3: Cross multiply
    10,965.20x = 16,415.40 × 10,324.40
  4. Step 4: Simplify right side
    10,965.20x = 169,479,155.76
  5. Step 5: Solve for x
    x = 169,479,155.76/10,965.20
  6. Step 6: Final answer
    x = 15,456.09

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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.