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Finding the Fourth Proportional to 10,285.10, 15,439.80 and 10,212.20

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Solution

The fourth proportional to 10,285.10, 15,439.80 and 10,212.20 is: 15,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.10 : 15,439.80 = 10,212.20 : x
  2. Step 2: Convert to fraction form
    10,285.10/15,439.80 = 10,212.20/x
  3. Step 3: Cross multiply
    10,285.10x = 15,439.80 × 10,212.20
  4. Step 4: Simplify right side
    10,285.10x = 157,674,325.56
  5. Step 5: Solve for x
    x = 157,674,325.56/10,285.10
  6. Step 6: Final answer
    x = 15,330.36

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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.