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Finding the Fourth Proportional to 22,507.97, 33,763.59 and 7,716.76

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Solution

The fourth proportional to 22,507.97, 33,763.59 and 7,716.76 is: 11,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.97 : 33,763.59 = 7,716.76 : x
  2. Step 2: Convert to fraction form
    22,507.97/33,763.59 = 7,716.76/x
  3. Step 3: Cross multiply
    22,507.97x = 33,763.59 × 7,716.76
  4. Step 4: Simplify right side
    22,507.97x = 260,545,436.36
  5. Step 5: Solve for x
    x = 260,545,436.36/22,507.97
  6. Step 6: Final answer
    x = 11,575.70

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