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Finding the Fourth Proportional to 16,144.73, 24,216.94 and 9,566.18

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Solution

The fourth proportional to 16,144.73, 24,216.94 and 9,566.18 is: 14,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.73 : 24,216.94 = 9,566.18 : x
  2. Step 2: Convert to fraction form
    16,144.73/24,216.94 = 9,566.18/x
  3. Step 3: Cross multiply
    16,144.73x = 24,216.94 × 9,566.18
  4. Step 4: Simplify right side
    16,144.73x = 231,663,607.09
  5. Step 5: Solve for x
    x = 231,663,607.09/16,144.73
  6. Step 6: Final answer
    x = 14,349.18

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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.