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Finding the Fourth Proportional to 20,044.19, 30,040.25 and 8,184.08

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Solution

The fourth proportional to 20,044.19, 30,040.25 and 8,184.08 is: 12,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,044.19 : 30,040.25 = 8,184.08 : x
  2. Step 2: Convert to fraction form
    20,044.19/30,040.25 = 8,184.08/x
  3. Step 3: Cross multiply
    20,044.19x = 30,040.25 × 8,184.08
  4. Step 4: Simplify right side
    20,044.19x = 245,851,659.02
  5. Step 5: Solve for x
    x = 245,851,659.02/20,044.19
  6. Step 6: Final answer
    x = 12,265.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.