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Finding the Fourth Proportional to 15,091.74, 20,825.62 and 8,377.38

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Solution

The fourth proportional to 15,091.74, 20,825.62 and 8,377.38 is: 11,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.74 : 20,825.62 = 8,377.38 : x
  2. Step 2: Convert to fraction form
    15,091.74/20,825.62 = 8,377.38/x
  3. Step 3: Cross multiply
    15,091.74x = 20,825.62 × 8,377.38
  4. Step 4: Simplify right side
    15,091.74x = 174,464,111.53
  5. Step 5: Solve for x
    x = 174,464,111.53/15,091.74
  6. Step 6: Final answer
    x = 11,560.24

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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.