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Finding the Fourth Proportional to 16,285.14, 22,473.99 and 9,114.93

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Solution

The fourth proportional to 16,285.14, 22,473.99 and 9,114.93 is: 12,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.14 : 22,473.99 = 9,114.93 : x
  2. Step 2: Convert to fraction form
    16,285.14/22,473.99 = 9,114.93/x
  3. Step 3: Cross multiply
    16,285.14x = 22,473.99 × 9,114.93
  4. Step 4: Simplify right side
    16,285.14x = 204,848,845.67
  5. Step 5: Solve for x
    x = 204,848,845.67/16,285.14
  6. Step 6: Final answer
    x = 12,578.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.