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Finding the Fourth Proportional to 22,356.88, 33,548.64 and 8,314.60

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Solution

The fourth proportional to 22,356.88, 33,548.64 and 8,314.60 is: 12,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.88 : 33,548.64 = 8,314.60 : x
  2. Step 2: Convert to fraction form
    22,356.88/33,548.64 = 8,314.60/x
  3. Step 3: Cross multiply
    22,356.88x = 33,548.64 × 8,314.60
  4. Step 4: Simplify right side
    22,356.88x = 278,943,522.14
  5. Step 5: Solve for x
    x = 278,943,522.14/22,356.88
  6. Step 6: Final answer
    x = 12,476.85

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Why These Related Problems?

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