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Finding the Fourth Proportional to 23,559.56, 32,512.87 and 12,949.87

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Solution

The fourth proportional to 23,559.56, 32,512.87 and 12,949.87 is: 17,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,559.56 : 32,512.87 = 12,949.87 : x
  2. Step 2: Convert to fraction form
    23,559.56/32,512.87 = 12,949.87/x
  3. Step 3: Cross multiply
    23,559.56x = 32,512.87 × 12,949.87
  4. Step 4: Simplify right side
    23,559.56x = 421,037,375.08
  5. Step 5: Solve for x
    x = 421,037,375.08/23,559.56
  6. Step 6: Final answer
    x = 17,871.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.