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Finding the Fourth Proportional to 23,452.76, 32,367.90 and 13,378.90

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Solution

The fourth proportional to 23,452.76, 32,367.90 and 13,378.90 is: 18,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.76 : 32,367.90 = 13,378.90 : x
  2. Step 2: Convert to fraction form
    23,452.76/32,367.90 = 13,378.90/x
  3. Step 3: Cross multiply
    23,452.76x = 32,367.90 × 13,378.90
  4. Step 4: Simplify right side
    23,452.76x = 433,046,897.31
  5. Step 5: Solve for x
    x = 433,046,897.31/23,452.76
  6. Step 6: Final answer
    x = 18,464.65

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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.