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Finding the Fourth Proportional to 19,937.36, 27,497.40 and 17,542.16

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Solution

The fourth proportional to 19,937.36, 27,497.40 and 17,542.16 is: 24,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.36 : 27,497.40 = 17,542.16 : x
  2. Step 2: Convert to fraction form
    19,937.36/27,497.40 = 17,542.16/x
  3. Step 3: Cross multiply
    19,937.36x = 27,497.40 × 17,542.16
  4. Step 4: Simplify right side
    19,937.36x = 482,363,790.38
  5. Step 5: Solve for x
    x = 482,363,790.38/19,937.36
  6. Step 6: Final answer
    x = 24,193.97

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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.