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Finding the Fourth Proportional to 16,410.06, 22,675.50 and 11,686.14

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Solution

The fourth proportional to 16,410.06, 22,675.50 and 11,686.14 is: 16,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.06 : 22,675.50 = 11,686.14 : x
  2. Step 2: Convert to fraction form
    16,410.06/22,675.50 = 11,686.14/x
  3. Step 3: Cross multiply
    16,410.06x = 22,675.50 × 11,686.14
  4. Step 4: Simplify right side
    16,410.06x = 264,989,067.57
  5. Step 5: Solve for x
    x = 264,989,067.57/16,410.06
  6. Step 6: Final answer
    x = 16,147.96

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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.