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Finding the Fourth Proportional to 20,537.19, 30,805.84 and 5,746.24

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Solution

The fourth proportional to 20,537.19, 30,805.84 and 5,746.24 is: 8,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.19 : 30,805.84 = 5,746.24 : x
  2. Step 2: Convert to fraction form
    20,537.19/30,805.84 = 5,746.24/x
  3. Step 3: Cross multiply
    20,537.19x = 30,805.84 × 5,746.24
  4. Step 4: Simplify right side
    20,537.19x = 177,017,673.03
  5. Step 5: Solve for x
    x = 177,017,673.03/20,537.19
  6. Step 6: Final answer
    x = 8,619.37

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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.