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Finding the Fourth Proportional to 12,309.54, 18,463.70 and 4,517.76

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Solution

The fourth proportional to 12,309.54, 18,463.70 and 4,517.76 is: 6,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.54 : 18,463.70 = 4,517.76 : x
  2. Step 2: Convert to fraction form
    12,309.54/18,463.70 = 4,517.76/x
  3. Step 3: Cross multiply
    12,309.54x = 18,463.70 × 4,517.76
  4. Step 4: Simplify right side
    12,309.54x = 83,414,565.31
  5. Step 5: Solve for x
    x = 83,414,565.31/12,309.54
  6. Step 6: Final answer
    x = 6,776.42

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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.