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Finding the Fourth Proportional to 20,823.84, 31,229.88 and 7,494.89

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Solution

The fourth proportional to 20,823.84, 31,229.88 and 7,494.89 is: 11,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.84 : 31,229.88 = 7,494.89 : x
  2. Step 2: Convert to fraction form
    20,823.84/31,229.88 = 7,494.89/x
  3. Step 3: Cross multiply
    20,823.84x = 31,229.88 × 7,494.89
  4. Step 4: Simplify right side
    20,823.84x = 234,064,359.16
  5. Step 5: Solve for x
    x = 234,064,359.16/20,823.84
  6. Step 6: Final answer
    x = 11,240.21

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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.