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Finding the Fourth Proportional to 22,630.80, 33,926.40 and 7,829.52

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Solution

The fourth proportional to 22,630.80, 33,926.40 and 7,829.52 is: 11,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630.80 : 33,926.40 = 7,829.52 : x
  2. Step 2: Convert to fraction form
    22,630.80/33,926.40 = 7,829.52/x
  3. Step 3: Cross multiply
    22,630.80x = 33,926.40 × 7,829.52
  4. Step 4: Simplify right side
    22,630.80x = 265,627,427.33
  5. Step 5: Solve for x
    x = 265,627,427.33/22,630.80
  6. Step 6: Final answer
    x = 11,737.43

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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.