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Finding the Fourth Proportional to 12,074.02, 16,655.97 and 8,047.78

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Solution

The fourth proportional to 12,074.02, 16,655.97 and 8,047.78 is: 11,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.02 : 16,655.97 = 8,047.78 : x
  2. Step 2: Convert to fraction form
    12,074.02/16,655.97 = 8,047.78/x
  3. Step 3: Cross multiply
    12,074.02x = 16,655.97 × 8,047.78
  4. Step 4: Simplify right side
    12,074.02x = 134,043,582.25
  5. Step 5: Solve for x
    x = 134,043,582.25/12,074.02
  6. Step 6: Final answer
    x = 11,101.82

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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.