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Finding the Fourth Proportional to 20,534.66, 30,805.01 and 6,491.49

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Solution

The fourth proportional to 20,534.66, 30,805.01 and 6,491.49 is: 9,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.66 : 30,805.01 = 6,491.49 : x
  2. Step 2: Convert to fraction form
    20,534.66/30,805.01 = 6,491.49/x
  3. Step 3: Cross multiply
    20,534.66x = 30,805.01 × 6,491.49
  4. Step 4: Simplify right side
    20,534.66x = 199,970,587.16
  5. Step 5: Solve for x
    x = 199,970,587.16/20,534.66
  6. Step 6: Final answer
    x = 9,738.20

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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.