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Finding the Fourth Proportional to 12,480.42, 18,725.34 and 5,820.32

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Solution

The fourth proportional to 12,480.42, 18,725.34 and 5,820.32 is: 8,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.42 : 18,725.34 = 5,820.32 : x
  2. Step 2: Convert to fraction form
    12,480.42/18,725.34 = 5,820.32/x
  3. Step 3: Cross multiply
    12,480.42x = 18,725.34 × 5,820.32
  4. Step 4: Simplify right side
    12,480.42x = 108,987,470.91
  5. Step 5: Solve for x
    x = 108,987,470.91/12,480.42
  6. Step 6: Final answer
    x = 8,732.68

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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.