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Finding the Fourth Proportional to 11,641.54, 17,462.24 and 8,138.40

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Solution

The fourth proportional to 11,641.54, 17,462.24 and 8,138.40 is: 12,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.54 : 17,462.24 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    11,641.54/17,462.24 = 8,138.40/x
  3. Step 3: Cross multiply
    11,641.54x = 17,462.24 × 8,138.40
  4. Step 4: Simplify right side
    11,641.54x = 142,114,694.02
  5. Step 5: Solve for x
    x = 142,114,694.02/11,641.54
  6. Step 6: Final answer
    x = 12,207.55

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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.