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Finding the Fourth Proportional to 23,759.76, 32,787.06 and 13,148.76

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Solution

The fourth proportional to 23,759.76, 32,787.06 and 13,148.76 is: 18,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,759.76 : 32,787.06 = 13,148.76 : x
  2. Step 2: Convert to fraction form
    23,759.76/32,787.06 = 13,148.76/x
  3. Step 3: Cross multiply
    23,759.76x = 32,787.06 × 13,148.76
  4. Step 4: Simplify right side
    23,759.76x = 431,109,183.05
  5. Step 5: Solve for x
    x = 431,109,183.05/23,759.76
  6. Step 6: Final answer
    x = 18,144.51

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1.5x scale

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.