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Finding the Fourth Proportional to 12,218.67, 16,861.80 and 7,737.75

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Solution

The fourth proportional to 12,218.67, 16,861.80 and 7,737.75 is: 10,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.67 : 16,861.80 = 7,737.75 : x
  2. Step 2: Convert to fraction form
    12,218.67/16,861.80 = 7,737.75/x
  3. Step 3: Cross multiply
    12,218.67x = 16,861.80 × 7,737.75
  4. Step 4: Simplify right side
    12,218.67x = 130,472,392.95
  5. Step 5: Solve for x
    x = 130,472,392.95/12,218.67
  6. Step 6: Final answer
    x = 10,678.12

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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.