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Finding the Fourth Proportional to 16,589.56, 22,862.10 and 11,865.64

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Solution

The fourth proportional to 16,589.56, 22,862.10 and 11,865.64 is: 16,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.56 : 22,862.10 = 11,865.64 : x
  2. Step 2: Convert to fraction form
    16,589.56/22,862.10 = 11,865.64/x
  3. Step 3: Cross multiply
    16,589.56x = 22,862.10 × 11,865.64
  4. Step 4: Simplify right side
    16,589.56x = 271,273,448.24
  5. Step 5: Solve for x
    x = 271,273,448.24/16,589.56
  6. Step 6: Final answer
    x = 16,352.06

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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.