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Finding the Fourth Proportional to 20,057.49, 30,085.56 and 9,535.08

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Solution

The fourth proportional to 20,057.49, 30,085.56 and 9,535.08 is: 14,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.49 : 30,085.56 = 9,535.08 : x
  2. Step 2: Convert to fraction form
    20,057.49/30,085.56 = 9,535.08/x
  3. Step 3: Cross multiply
    20,057.49x = 30,085.56 × 9,535.08
  4. Step 4: Simplify right side
    20,057.49x = 286,868,221.44
  5. Step 5: Solve for x
    x = 286,868,221.44/20,057.49
  6. Step 6: Final answer
    x = 14,302.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.