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Finding the Fourth Proportional to 25,777, 35,589.56 and 16,101.20

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Solution

The fourth proportional to 25,777, 35,589.56 and 16,101.20 is: 22,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777 : 35,589.56 = 16,101.20 : x
  2. Step 2: Convert to fraction form
    25,777/35,589.56 = 16,101.20/x
  3. Step 3: Cross multiply
    25,777x = 35,589.56 × 16,101.20
  4. Step 4: Simplify right side
    25,777x = 573,034,623.47
  5. Step 5: Solve for x
    x = 573,034,623.47/25,777
  6. Step 6: Final answer
    x = 22,230.46

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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.