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Finding the Fourth Proportional to 10,803.42, 16,208.49 and 9,171.90

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Solution

The fourth proportional to 10,803.42, 16,208.49 and 9,171.90 is: 13,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.42 : 16,208.49 = 9,171.90 : x
  2. Step 2: Convert to fraction form
    10,803.42/16,208.49 = 9,171.90/x
  3. Step 3: Cross multiply
    10,803.42x = 16,208.49 × 9,171.90
  4. Step 4: Simplify right side
    10,803.42x = 148,662,649.43
  5. Step 5: Solve for x
    x = 148,662,649.43/10,803.42
  6. Step 6: Final answer
    x = 13,760.70

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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.