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Finding the Fourth Proportional to 15,414.40, 21,271.86 and 8,340.82

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Solution

The fourth proportional to 15,414.40, 21,271.86 and 8,340.82 is: 11,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.40 : 21,271.86 = 8,340.82 : x
  2. Step 2: Convert to fraction form
    15,414.40/21,271.86 = 8,340.82/x
  3. Step 3: Cross multiply
    15,414.40x = 21,271.86 × 8,340.82
  4. Step 4: Simplify right side
    15,414.40x = 177,424,648.97
  5. Step 5: Solve for x
    x = 177,424,648.97/15,414.40
  6. Step 6: Final answer
    x = 11,510.32

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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.