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Finding the Fourth Proportional to 20,303.74, 30,468.57 and 7,833.82

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Solution

The fourth proportional to 20,303.74, 30,468.57 and 7,833.82 is: 11,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303.74 : 30,468.57 = 7,833.82 : x
  2. Step 2: Convert to fraction form
    20,303.74/30,468.57 = 7,833.82/x
  3. Step 3: Cross multiply
    20,303.74x = 30,468.57 × 7,833.82
  4. Step 4: Simplify right side
    20,303.74x = 238,685,293.04
  5. Step 5: Solve for x
    x = 238,685,293.04/20,303.74
  6. Step 6: Final answer
    x = 11,755.73

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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.