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Finding the Fourth Proportional to 25,770.40, 38,540.40 and 21,623.20

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Solution

The fourth proportional to 25,770.40, 38,540.40 and 21,623.20 is: 32,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770.40 : 38,540.40 = 21,623.20 : x
  2. Step 2: Convert to fraction form
    25,770.40/38,540.40 = 21,623.20/x
  3. Step 3: Cross multiply
    25,770.40x = 38,540.40 × 21,623.20
  4. Step 4: Simplify right side
    25,770.40x = 833,366,777.28
  5. Step 5: Solve for x
    x = 833,366,777.28/25,770.40
  6. Step 6: Final answer
    x = 32,338.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.