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Finding the Fourth Proportional to 16,589.66, 24,883.88 and 4,109.72

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Solution

The fourth proportional to 16,589.66, 24,883.88 and 4,109.72 is: 6,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.66 : 24,883.88 = 4,109.72 : x
  2. Step 2: Convert to fraction form
    16,589.66/24,883.88 = 4,109.72/x
  3. Step 3: Cross multiply
    16,589.66x = 24,883.88 × 4,109.72
  4. Step 4: Simplify right side
    16,589.66x = 102,265,634.35
  5. Step 5: Solve for x
    x = 102,265,634.35/16,589.66
  6. Step 6: Final answer
    x = 6,164.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.