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Finding the Fourth Proportional to 16,589.70, 24,883.88 and 4,109.76

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Solution

The fourth proportional to 16,589.70, 24,883.88 and 4,109.76 is: 6,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.70 : 24,883.88 = 4,109.76 : x
  2. Step 2: Convert to fraction form
    16,589.70/24,883.88 = 4,109.76/x
  3. Step 3: Cross multiply
    16,589.70x = 24,883.88 × 4,109.76
  4. Step 4: Simplify right side
    16,589.70x = 102,266,754.12
  5. Step 5: Solve for x
    x = 102,266,754.12/16,589.70
  6. Step 6: Final answer
    x = 6,164.47

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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.