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Finding the Fourth Proportional to 12,032.50, 16,604.85 and 6,727.20

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Solution

The fourth proportional to 12,032.50, 16,604.85 and 6,727.20 is: 9,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.50 : 16,604.85 = 6,727.20 : x
  2. Step 2: Convert to fraction form
    12,032.50/16,604.85 = 6,727.20/x
  3. Step 3: Cross multiply
    12,032.50x = 16,604.85 × 6,727.20
  4. Step 4: Simplify right side
    12,032.50x = 111,704,146.92
  5. Step 5: Solve for x
    x = 111,704,146.92/12,032.50
  6. Step 6: Final answer
    x = 9,283.54

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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.