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Finding the Fourth Proportional to 12,218.75, 16,875.68 and 8,232.94

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Solution

The fourth proportional to 12,218.75, 16,875.68 and 8,232.94 is: 11,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.75 : 16,875.68 = 8,232.94 : x
  2. Step 2: Convert to fraction form
    12,218.75/16,875.68 = 8,232.94/x
  3. Step 3: Cross multiply
    12,218.75x = 16,875.68 × 8,232.94
  4. Step 4: Simplify right side
    12,218.75x = 138,936,439.29
  5. Step 5: Solve for x
    x = 138,936,439.29/12,218.75
  6. Step 6: Final answer
    x = 11,370.76

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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.