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Finding the Fourth Proportional to 23,839.32, 35,770.50 and 9,809.70

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Solution

The fourth proportional to 23,839.32, 35,770.50 and 9,809.70 is: 14,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.32 : 35,770.50 = 9,809.70 : x
  2. Step 2: Convert to fraction form
    23,839.32/35,770.50 = 9,809.70/x
  3. Step 3: Cross multiply
    23,839.32x = 35,770.50 × 9,809.70
  4. Step 4: Simplify right side
    23,839.32x = 350,897,873.85
  5. Step 5: Solve for x
    x = 350,897,873.85/23,839.32
  6. Step 6: Final answer
    x = 14,719.29

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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.