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Finding the Fourth Proportional to 19,632.14, 27,097.02 and 12,083.34

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Solution

The fourth proportional to 19,632.14, 27,097.02 and 12,083.34 is: 16,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.14 : 27,097.02 = 12,083.34 : x
  2. Step 2: Convert to fraction form
    19,632.14/27,097.02 = 12,083.34/x
  3. Step 3: Cross multiply
    19,632.14x = 27,097.02 × 12,083.34
  4. Step 4: Simplify right side
    19,632.14x = 327,422,505.65
  5. Step 5: Solve for x
    x = 327,422,505.65/19,632.14
  6. Step 6: Final answer
    x = 16,677.89

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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.