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Finding the Fourth Proportional to 22,338.33, 30,782.46 and 15,946.89

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Solution

The fourth proportional to 22,338.33, 30,782.46 and 15,946.89 is: 21,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.33 : 30,782.46 = 15,946.89 : x
  2. Step 2: Convert to fraction form
    22,338.33/30,782.46 = 15,946.89/x
  3. Step 3: Cross multiply
    22,338.33x = 30,782.46 × 15,946.89
  4. Step 4: Simplify right side
    22,338.33x = 490,884,503.55
  5. Step 5: Solve for x
    x = 490,884,503.55/22,338.33
  6. Step 6: Final answer
    x = 21,974.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.