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Finding the Fourth Proportional to 16,505.32, 24,742.62 and 6,109

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Solution

The fourth proportional to 16,505.32, 24,742.62 and 6,109 is: 9,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.32 : 24,742.62 = 6,109 : x
  2. Step 2: Convert to fraction form
    16,505.32/24,742.62 = 6,109/x
  3. Step 3: Cross multiply
    16,505.32x = 24,742.62 × 6,109
  4. Step 4: Simplify right side
    16,505.32x = 151,152,665.58
  5. Step 5: Solve for x
    x = 151,152,665.58/16,505.32
  6. Step 6: Final answer
    x = 9,157.81

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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.