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Finding the Fourth Proportional to 12,022.73, 16,586.66 and 6,986.04

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Solution

The fourth proportional to 12,022.73, 16,586.66 and 6,986.04 is: 9,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.73 : 16,586.66 = 6,986.04 : x
  2. Step 2: Convert to fraction form
    12,022.73/16,586.66 = 6,986.04/x
  3. Step 3: Cross multiply
    12,022.73x = 16,586.66 × 6,986.04
  4. Step 4: Simplify right side
    12,022.73x = 115,875,035.30
  5. Step 5: Solve for x
    x = 115,875,035.30/12,022.73
  6. Step 6: Final answer
    x = 9,638.00

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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.