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Finding the Fourth Proportional to 10,622.96, 15,932.27 and 10,096.05

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Solution

The fourth proportional to 10,622.96, 15,932.27 and 10,096.05 is: 15,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.96 : 15,932.27 = 10,096.05 : x
  2. Step 2: Convert to fraction form
    10,622.96/15,932.27 = 10,096.05/x
  3. Step 3: Cross multiply
    10,622.96x = 15,932.27 × 10,096.05
  4. Step 4: Simplify right side
    10,622.96x = 160,853,019.77
  5. Step 5: Solve for x
    x = 160,853,019.77/10,622.96
  6. Step 6: Final answer
    x = 15,142.02

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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.