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Finding the Fourth Proportional to 17,866.62, 26,792.19 and 7,871.13

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Solution

The fourth proportional to 17,866.62, 26,792.19 and 7,871.13 is: 11,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.62 : 26,792.19 = 7,871.13 : x
  2. Step 2: Convert to fraction form
    17,866.62/26,792.19 = 7,871.13/x
  3. Step 3: Cross multiply
    17,866.62x = 26,792.19 × 7,871.13
  4. Step 4: Simplify right side
    17,866.62x = 210,884,810.47
  5. Step 5: Solve for x
    x = 210,884,810.47/17,866.62
  6. Step 6: Final answer
    x = 11,803.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.