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Finding the Fourth Proportional to 19,853.21, 27,397.46 and 11,469.71

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Solution

The fourth proportional to 19,853.21, 27,397.46 and 11,469.71 is: 15,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.21 : 27,397.46 = 11,469.71 : x
  2. Step 2: Convert to fraction form
    19,853.21/27,397.46 = 11,469.71/x
  3. Step 3: Cross multiply
    19,853.21x = 27,397.46 × 11,469.71
  4. Step 4: Simplify right side
    19,853.21x = 314,240,920.94
  5. Step 5: Solve for x
    x = 314,240,920.94/19,853.21
  6. Step 6: Final answer
    x = 15,828.22

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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.