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Finding the Fourth Proportional to 20,337.41, 30,494.06 and 6,293.28

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Solution

The fourth proportional to 20,337.41, 30,494.06 and 6,293.28 is: 9,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,337.41 : 30,494.06 = 6,293.28 : x
  2. Step 2: Convert to fraction form
    20,337.41/30,494.06 = 6,293.28/x
  3. Step 3: Cross multiply
    20,337.41x = 30,494.06 × 6,293.28
  4. Step 4: Simplify right side
    20,337.41x = 191,907,657.92
  5. Step 5: Solve for x
    x = 191,907,657.92/20,337.41
  6. Step 6: Final answer
    x = 9,436.19

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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.