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Finding the Fourth Proportional to 16,874.13, 23,263.02 and 12,097.97

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Solution

The fourth proportional to 16,874.13, 23,263.02 and 12,097.97 is: 16,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.13 : 23,263.02 = 12,097.97 : x
  2. Step 2: Convert to fraction form
    16,874.13/23,263.02 = 12,097.97/x
  3. Step 3: Cross multiply
    16,874.13x = 23,263.02 × 12,097.97
  4. Step 4: Simplify right side
    16,874.13x = 281,435,318.07
  5. Step 5: Solve for x
    x = 281,435,318.07/16,874.13
  6. Step 6: Final answer
    x = 16,678.51

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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.