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Finding the Fourth Proportional to 16,287.66, 24,431.73 and 6,426.84

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Solution

The fourth proportional to 16,287.66, 24,431.73 and 6,426.84 is: 9,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.66 : 24,431.73 = 6,426.84 : x
  2. Step 2: Convert to fraction form
    16,287.66/24,431.73 = 6,426.84/x
  3. Step 3: Cross multiply
    16,287.66x = 24,431.73 × 6,426.84
  4. Step 4: Simplify right side
    16,287.66x = 157,018,887.15
  5. Step 5: Solve for x
    x = 157,018,887.15/16,287.66
  6. Step 6: Final answer
    x = 9,640.36

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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.