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Finding the Fourth Proportional to 22,277.97, 30,748.41 and 13,327.47

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Solution

The fourth proportional to 22,277.97, 30,748.41 and 13,327.47 is: 18,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.97 : 30,748.41 = 13,327.47 : x
  2. Step 2: Convert to fraction form
    22,277.97/30,748.41 = 13,327.47/x
  3. Step 3: Cross multiply
    22,277.97x = 30,748.41 × 13,327.47
  4. Step 4: Simplify right side
    22,277.97x = 409,798,511.82
  5. Step 5: Solve for x
    x = 409,798,511.82/22,277.97
  6. Step 6: Final answer
    x = 18,394.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.