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Finding the Fourth Proportional to 22,996.44, 34,465.80 and 9,833.33

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Solution

The fourth proportional to 22,996.44, 34,465.80 and 9,833.33 is: 14,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.44 : 34,465.80 = 9,833.33 : x
  2. Step 2: Convert to fraction form
    22,996.44/34,465.80 = 9,833.33/x
  3. Step 3: Cross multiply
    22,996.44x = 34,465.80 × 9,833.33
  4. Step 4: Simplify right side
    22,996.44x = 338,913,708.15
  5. Step 5: Solve for x
    x = 338,913,708.15/22,996.44
  6. Step 6: Final answer
    x = 14,737.66

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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.