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Finding the Fourth Proportional to 19,640.93, 27,098.37 and 11,142.41

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Solution

The fourth proportional to 19,640.93, 27,098.37 and 11,142.41 is: 15,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.93 : 27,098.37 = 11,142.41 : x
  2. Step 2: Convert to fraction form
    19,640.93/27,098.37 = 11,142.41/x
  3. Step 3: Cross multiply
    19,640.93x = 27,098.37 × 11,142.41
  4. Step 4: Simplify right side
    19,640.93x = 301,941,013.38
  5. Step 5: Solve for x
    x = 301,941,013.38/19,640.93
  6. Step 6: Final answer
    x = 15,373.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.