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Finding the Fourth Proportional to 13,290.73, 19,926.78 and 5,891.17

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Solution

The fourth proportional to 13,290.73, 19,926.78 and 5,891.17 is: 8,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290.73 : 19,926.78 = 5,891.17 : x
  2. Step 2: Convert to fraction form
    13,290.73/19,926.78 = 5,891.17/x
  3. Step 3: Cross multiply
    13,290.73x = 19,926.78 × 5,891.17
  4. Step 4: Simplify right side
    13,290.73x = 117,392,048.53
  5. Step 5: Solve for x
    x = 117,392,048.53/13,290.73
  6. Step 6: Final answer
    x = 8,832.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.