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Finding the Fourth Proportional to 22,643.06, 33,966.41 and 8,609.80

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Solution

The fourth proportional to 22,643.06, 33,966.41 and 8,609.80 is: 12,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.06 : 33,966.41 = 8,609.80 : x
  2. Step 2: Convert to fraction form
    22,643.06/33,966.41 = 8,609.80/x
  3. Step 3: Cross multiply
    22,643.06x = 33,966.41 × 8,609.80
  4. Step 4: Simplify right side
    22,643.06x = 292,443,996.82
  5. Step 5: Solve for x
    x = 292,443,996.82/22,643.06
  6. Step 6: Final answer
    x = 12,915.39

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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.