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Finding the Fourth Proportional to 15,091.47, 20,826.06 and 8,377.16

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Solution

The fourth proportional to 15,091.47, 20,826.06 and 8,377.16 is: 11,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.47 : 20,826.06 = 8,377.16 : x
  2. Step 2: Convert to fraction form
    15,091.47/20,826.06 = 8,377.16/x
  3. Step 3: Cross multiply
    15,091.47x = 20,826.06 × 8,377.16
  4. Step 4: Simplify right side
    15,091.47x = 174,463,132.66
  5. Step 5: Solve for x
    x = 174,463,132.66/15,091.47
  6. Step 6: Final answer
    x = 11,560.38

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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.