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Finding the Fourth Proportional to 22,477.12, 33,716.25 and 7,685.94

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Solution

The fourth proportional to 22,477.12, 33,716.25 and 7,685.94 is: 11,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.12 : 33,716.25 = 7,685.94 : x
  2. Step 2: Convert to fraction form
    22,477.12/33,716.25 = 7,685.94/x
  3. Step 3: Cross multiply
    22,477.12x = 33,716.25 × 7,685.94
  4. Step 4: Simplify right side
    22,477.12x = 259,141,011.31
  5. Step 5: Solve for x
    x = 259,141,011.31/22,477.12
  6. Step 6: Final answer
    x = 11,529.10

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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.