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Finding the Fourth Proportional to 22,663.75, 33,994.59 and 7,873.82

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Solution

The fourth proportional to 22,663.75, 33,994.59 and 7,873.82 is: 11,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.75 : 33,994.59 = 7,873.82 : x
  2. Step 2: Convert to fraction form
    22,663.75/33,994.59 = 7,873.82/x
  3. Step 3: Cross multiply
    22,663.75x = 33,994.59 × 7,873.82
  4. Step 4: Simplify right side
    22,663.75x = 267,667,282.63
  5. Step 5: Solve for x
    x = 267,667,282.63/22,663.75
  6. Step 6: Final answer
    x = 11,810.37

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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.