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Finding the Fourth Proportional to 20,902.47, 31,356.65 and 6,112.50

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Solution

The fourth proportional to 20,902.47, 31,356.65 and 6,112.50 is: 9,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.47 : 31,356.65 = 6,112.50 : x
  2. Step 2: Convert to fraction form
    20,902.47/31,356.65 = 6,112.50/x
  3. Step 3: Cross multiply
    20,902.47x = 31,356.65 × 6,112.50
  4. Step 4: Simplify right side
    20,902.47x = 191,667,492.56
  5. Step 5: Solve for x
    x = 191,667,492.56/20,902.47
  6. Step 6: Final answer
    x = 9,169.61

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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.