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Finding the Fourth Proportional to 10,246.50, 15,294.02 and 9,997.83

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Solution

The fourth proportional to 10,246.50, 15,294.02 and 9,997.83 is: 14,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.50 : 15,294.02 = 9,997.83 : x
  2. Step 2: Convert to fraction form
    10,246.50/15,294.02 = 9,997.83/x
  3. Step 3: Cross multiply
    10,246.50x = 15,294.02 × 9,997.83
  4. Step 4: Simplify right side
    10,246.50x = 152,906,961.99
  5. Step 5: Solve for x
    x = 152,906,961.99/10,246.50
  6. Step 6: Final answer
    x = 14,922.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.