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Finding the Fourth Proportional to 19,306.67, 28,962.39 and 6,824.12

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Solution

The fourth proportional to 19,306.67, 28,962.39 and 6,824.12 is: 10,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306.67 : 28,962.39 = 6,824.12 : x
  2. Step 2: Convert to fraction form
    19,306.67/28,962.39 = 6,824.12/x
  3. Step 3: Cross multiply
    19,306.67x = 28,962.39 × 6,824.12
  4. Step 4: Simplify right side
    19,306.67x = 197,642,824.85
  5. Step 5: Solve for x
    x = 197,642,824.85/19,306.67
  6. Step 6: Final answer
    x = 10,237.02

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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.