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Finding the Fourth Proportional to 14,340.66, 19,797.31 and 8,966.09

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Solution

The fourth proportional to 14,340.66, 19,797.31 and 8,966.09 is: 12,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.66 : 19,797.31 = 8,966.09 : x
  2. Step 2: Convert to fraction form
    14,340.66/19,797.31 = 8,966.09/x
  3. Step 3: Cross multiply
    14,340.66x = 19,797.31 × 8,966.09
  4. Step 4: Simplify right side
    14,340.66x = 177,504,341.82
  5. Step 5: Solve for x
    x = 177,504,341.82/14,340.66
  6. Step 6: Final answer
    x = 12,377.70

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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.