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Finding the Fourth Proportional to 12,043.89, 16,618.77 and 6,738.53

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Solution

The fourth proportional to 12,043.89, 16,618.77 and 6,738.53 is: 9,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.89 : 16,618.77 = 6,738.53 : x
  2. Step 2: Convert to fraction form
    12,043.89/16,618.77 = 6,738.53/x
  3. Step 3: Cross multiply
    12,043.89x = 16,618.77 × 6,738.53
  4. Step 4: Simplify right side
    12,043.89x = 111,985,997.11
  5. Step 5: Solve for x
    x = 111,985,997.11/12,043.89
  6. Step 6: Final answer
    x = 9,298.16

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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.