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Finding the Fourth Proportional to 12,589.48, 18,811.85 and 8,662.60

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Solution

The fourth proportional to 12,589.48, 18,811.85 and 8,662.60 is: 12,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.48 : 18,811.85 = 8,662.60 : x
  2. Step 2: Convert to fraction form
    12,589.48/18,811.85 = 8,662.60/x
  3. Step 3: Cross multiply
    12,589.48x = 18,811.85 × 8,662.60
  4. Step 4: Simplify right side
    12,589.48x = 162,959,531.81
  5. Step 5: Solve for x
    x = 162,959,531.81/12,589.48
  6. Step 6: Final answer
    x = 12,944.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.