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Finding the Fourth Proportional to 16,678.14, 23,015.88 and 9,226.14

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Solution

The fourth proportional to 16,678.14, 23,015.88 and 9,226.14 is: 12,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.14 : 23,015.88 = 9,226.14 : x
  2. Step 2: Convert to fraction form
    16,678.14/23,015.88 = 9,226.14/x
  3. Step 3: Cross multiply
    16,678.14x = 23,015.88 × 9,226.14
  4. Step 4: Simplify right side
    16,678.14x = 212,347,731.10
  5. Step 5: Solve for x
    x = 212,347,731.10/16,678.14
  6. Step 6: Final answer
    x = 12,732.10

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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.