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Finding the Fourth Proportional to 20,118.52, 30,180.48 and 7,643.20

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Solution

The fourth proportional to 20,118.52, 30,180.48 and 7,643.20 is: 11,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.52 : 30,180.48 = 7,643.20 : x
  2. Step 2: Convert to fraction form
    20,118.52/30,180.48 = 7,643.20/x
  3. Step 3: Cross multiply
    20,118.52x = 30,180.48 × 7,643.20
  4. Step 4: Simplify right side
    20,118.52x = 230,675,444.74
  5. Step 5: Solve for x
    x = 230,675,444.74/20,118.52
  6. Step 6: Final answer
    x = 11,465.83

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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.