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Finding the Fourth Proportional to 20,121.81, 30,182.86 and 7,638.47

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Solution

The fourth proportional to 20,121.81, 30,182.86 and 7,638.47 is: 11,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.81 : 30,182.86 = 7,638.47 : x
  2. Step 2: Convert to fraction form
    20,121.81/30,182.86 = 7,638.47/x
  3. Step 3: Cross multiply
    20,121.81x = 30,182.86 × 7,638.47
  4. Step 4: Simplify right side
    20,121.81x = 230,550,681.52
  5. Step 5: Solve for x
    x = 230,550,681.52/20,121.81
  6. Step 6: Final answer
    x = 11,457.75

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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.