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Finding the Fourth Proportional to 20,810.64, 31,138.20 and 12,049.68

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Solution

The fourth proportional to 20,810.64, 31,138.20 and 12,049.68 is: 18,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.64 : 31,138.20 = 12,049.68 : x
  2. Step 2: Convert to fraction form
    20,810.64/31,138.20 = 12,049.68/x
  3. Step 3: Cross multiply
    20,810.64x = 31,138.20 × 12,049.68
  4. Step 4: Simplify right side
    20,810.64x = 375,205,345.78
  5. Step 5: Solve for x
    x = 375,205,345.78/20,810.64
  6. Step 6: Final answer
    x = 18,029.50

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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.