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Finding the Fourth Proportional to 12,280.48, 16,949.08 and 7,245.92

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Solution

The fourth proportional to 12,280.48, 16,949.08 and 7,245.92 is: 10,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.48 : 16,949.08 = 7,245.92 : x
  2. Step 2: Convert to fraction form
    12,280.48/16,949.08 = 7,245.92/x
  3. Step 3: Cross multiply
    12,280.48x = 16,949.08 × 7,245.92
  4. Step 4: Simplify right side
    12,280.48x = 122,811,677.75
  5. Step 5: Solve for x
    x = 122,811,677.75/12,280.48
  6. Step 6: Final answer
    x = 10,000.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.