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Finding the Fourth Proportional to 20,718.40, 31,081.02 and 8,238.50

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Solution

The fourth proportional to 20,718.40, 31,081.02 and 8,238.50 is: 12,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,718.40 : 31,081.02 = 8,238.50 : x
  2. Step 2: Convert to fraction form
    20,718.40/31,081.02 = 8,238.50/x
  3. Step 3: Cross multiply
    20,718.40x = 31,081.02 × 8,238.50
  4. Step 4: Simplify right side
    20,718.40x = 256,060,983.27
  5. Step 5: Solve for x
    x = 256,060,983.27/20,718.40
  6. Step 6: Final answer
    x = 12,359.11

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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.