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Finding the Fourth Proportional to 10,922.40, 16,347.15 and 9,610.20

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Solution

The fourth proportional to 10,922.40, 16,347.15 and 9,610.20 is: 14,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.40 : 16,347.15 = 9,610.20 : x
  2. Step 2: Convert to fraction form
    10,922.40/16,347.15 = 9,610.20/x
  3. Step 3: Cross multiply
    10,922.40x = 16,347.15 × 9,610.20
  4. Step 4: Simplify right side
    10,922.40x = 157,099,380.93
  5. Step 5: Solve for x
    x = 157,099,380.93/10,922.40
  6. Step 6: Final answer
    x = 14,383.23

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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.