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Finding the Fourth Proportional to 15,461.74, 21,338.31 and 8,747.65

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Solution

The fourth proportional to 15,461.74, 21,338.31 and 8,747.65 is: 12,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.74 : 21,338.31 = 8,747.65 : x
  2. Step 2: Convert to fraction form
    15,461.74/21,338.31 = 8,747.65/x
  3. Step 3: Cross multiply
    15,461.74x = 21,338.31 × 8,747.65
  4. Step 4: Simplify right side
    15,461.74x = 186,660,067.47
  5. Step 5: Solve for x
    x = 186,660,067.47/15,461.74
  6. Step 6: Final answer
    x = 12,072.38

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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.