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Finding the Fourth Proportional to 19,892.80, 29,839.20 and 9,524.80

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Solution

The fourth proportional to 19,892.80, 29,839.20 and 9,524.80 is: 14,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.80 : 29,839.20 = 9,524.80 : x
  2. Step 2: Convert to fraction form
    19,892.80/29,839.20 = 9,524.80/x
  3. Step 3: Cross multiply
    19,892.80x = 29,839.20 × 9,524.80
  4. Step 4: Simplify right side
    19,892.80x = 284,212,412.16
  5. Step 5: Solve for x
    x = 284,212,412.16/19,892.80
  6. Step 6: Final answer
    x = 14,287.20

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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.