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Finding the Fourth Proportional to 20,974.99, 31,440.54 and 7,822.07

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Solution

The fourth proportional to 20,974.99, 31,440.54 and 7,822.07 is: 11,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.99 : 31,440.54 = 7,822.07 : x
  2. Step 2: Convert to fraction form
    20,974.99/31,440.54 = 7,822.07/x
  3. Step 3: Cross multiply
    20,974.99x = 31,440.54 × 7,822.07
  4. Step 4: Simplify right side
    20,974.99x = 245,930,065.61
  5. Step 5: Solve for x
    x = 245,930,065.61/20,974.99
  6. Step 6: Final answer
    x = 11,724.92

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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.