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Finding the Fourth Proportional to 22,706.88, 34,022.46 and 7,907.64

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Solution

The fourth proportional to 22,706.88, 34,022.46 and 7,907.64 is: 11,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.88 : 34,022.46 = 7,907.64 : x
  2. Step 2: Convert to fraction form
    22,706.88/34,022.46 = 7,907.64/x
  3. Step 3: Cross multiply
    22,706.88x = 34,022.46 × 7,907.64
  4. Step 4: Simplify right side
    22,706.88x = 269,037,365.59
  5. Step 5: Solve for x
    x = 269,037,365.59/22,706.88
  6. Step 6: Final answer
    x = 11,848.28

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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.