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Finding the Fourth Proportional to 17,798.23, 24,559.41 and 9,839.37

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Solution

The fourth proportional to 17,798.23, 24,559.41 and 9,839.37 is: 13,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798.23 : 24,559.41 = 9,839.37 : x
  2. Step 2: Convert to fraction form
    17,798.23/24,559.41 = 9,839.37/x
  3. Step 3: Cross multiply
    17,798.23x = 24,559.41 × 9,839.37
  4. Step 4: Simplify right side
    17,798.23x = 241,649,121.97
  5. Step 5: Solve for x
    x = 241,649,121.97/17,798.23
  6. Step 6: Final answer
    x = 13,577.14

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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.