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Finding the Fourth Proportional to 10,226.70, 15,340.05 and 10,161.90

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Solution

The fourth proportional to 10,226.70, 15,340.05 and 10,161.90 is: 15,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.70 : 15,340.05 = 10,161.90 : x
  2. Step 2: Convert to fraction form
    10,226.70/15,340.05 = 10,161.90/x
  3. Step 3: Cross multiply
    10,226.70x = 15,340.05 × 10,161.90
  4. Step 4: Simplify right side
    10,226.70x = 155,884,054.10
  5. Step 5: Solve for x
    x = 155,884,054.10/10,226.70
  6. Step 6: Final answer
    x = 15,242.85

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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.