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Finding the Fourth Proportional to 20,598.78, 30,890.17 and 7,087.38

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Solution

The fourth proportional to 20,598.78, 30,890.17 and 7,087.38 is: 10,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.78 : 30,890.17 = 7,087.38 : x
  2. Step 2: Convert to fraction form
    20,598.78/30,890.17 = 7,087.38/x
  3. Step 3: Cross multiply
    20,598.78x = 30,890.17 × 7,087.38
  4. Step 4: Simplify right side
    20,598.78x = 218,930,381.91
  5. Step 5: Solve for x
    x = 218,930,381.91/20,598.78
  6. Step 6: Final answer
    x = 10,628.32

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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.