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Finding the Fourth Proportional to 10,960.96, 16,444.50 and 9,201.82

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Solution

The fourth proportional to 10,960.96, 16,444.50 and 9,201.82 is: 13,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.96 : 16,444.50 = 9,201.82 : x
  2. Step 2: Convert to fraction form
    10,960.96/16,444.50 = 9,201.82/x
  3. Step 3: Cross multiply
    10,960.96x = 16,444.50 × 9,201.82
  4. Step 4: Simplify right side
    10,960.96x = 151,319,328.99
  5. Step 5: Solve for x
    x = 151,319,328.99/10,960.96
  6. Step 6: Final answer
    x = 13,805.30

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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.