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Finding the Fourth Proportional to 15,046.32, 20,739.96 and 11,854.56

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Solution

The fourth proportional to 15,046.32, 20,739.96 and 11,854.56 is: 16,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.32 : 20,739.96 = 11,854.56 : x
  2. Step 2: Convert to fraction form
    15,046.32/20,739.96 = 11,854.56/x
  3. Step 3: Cross multiply
    15,046.32x = 20,739.96 × 11,854.56
  4. Step 4: Simplify right side
    15,046.32x = 245,863,100.22
  5. Step 5: Solve for x
    x = 245,863,100.22/15,046.32
  6. Step 6: Final answer
    x = 16,340.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.