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Finding the Fourth Proportional to 22,571.64, 33,860.42 and 7,776.58

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Solution

The fourth proportional to 22,571.64, 33,860.42 and 7,776.58 is: 11,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.64 : 33,860.42 = 7,776.58 : x
  2. Step 2: Convert to fraction form
    22,571.64/33,860.42 = 7,776.58/x
  3. Step 3: Cross multiply
    22,571.64x = 33,860.42 × 7,776.58
  4. Step 4: Simplify right side
    22,571.64x = 263,318,264.96
  5. Step 5: Solve for x
    x = 263,318,264.96/22,571.64
  6. Step 6: Final answer
    x = 11,665.89

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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.