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Finding the Fourth Proportional to 10,920.58, 15,035.83 and 9,922.87

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Solution

The fourth proportional to 10,920.58, 15,035.83 and 9,922.87 is: 13,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.58 : 15,035.83 = 9,922.87 : x
  2. Step 2: Convert to fraction form
    10,920.58/15,035.83 = 9,922.87/x
  3. Step 3: Cross multiply
    10,920.58x = 15,035.83 × 9,922.87
  4. Step 4: Simplify right side
    10,920.58x = 149,198,586.43
  5. Step 5: Solve for x
    x = 149,198,586.43/10,920.58
  6. Step 6: Final answer
    x = 13,662.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.