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Finding the Fourth Proportional to 19,834.70, 27,370.13 and 11,335.14

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Solution

The fourth proportional to 19,834.70, 27,370.13 and 11,335.14 is: 15,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.70 : 27,370.13 = 11,335.14 : x
  2. Step 2: Convert to fraction form
    19,834.70/27,370.13 = 11,335.14/x
  3. Step 3: Cross multiply
    19,834.70x = 27,370.13 × 11,335.14
  4. Step 4: Simplify right side
    19,834.70x = 310,244,198.69
  5. Step 5: Solve for x
    x = 310,244,198.69/19,834.70
  6. Step 6: Final answer
    x = 15,641.49

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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.