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Finding the Fourth Proportional to 12,309.10, 18,442.05 and 10,105.90

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Solution

The fourth proportional to 12,309.10, 18,442.05 and 10,105.90 is: 15,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.10 : 18,442.05 = 10,105.90 : x
  2. Step 2: Convert to fraction form
    12,309.10/18,442.05 = 10,105.90/x
  3. Step 3: Cross multiply
    12,309.10x = 18,442.05 × 10,105.90
  4. Step 4: Simplify right side
    12,309.10x = 186,373,513.10
  5. Step 5: Solve for x
    x = 186,373,513.10/12,309.10
  6. Step 6: Final answer
    x = 15,141.12

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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.