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Finding the Fourth Proportional to 17,745.90, 24,489.42 and 9,788.11

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Solution

The fourth proportional to 17,745.90, 24,489.42 and 9,788.11 is: 13,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.90 : 24,489.42 = 9,788.11 : x
  2. Step 2: Convert to fraction form
    17,745.90/24,489.42 = 9,788.11/x
  3. Step 3: Cross multiply
    17,745.90x = 24,489.42 × 9,788.11
  4. Step 4: Simplify right side
    17,745.90x = 239,705,112.33
  5. Step 5: Solve for x
    x = 239,705,112.33/17,745.90
  6. Step 6: Final answer
    x = 13,507.63

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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.