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Finding the Fourth Proportional to 27,859.64, 38,446.24 and 15,284.36

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Solution

The fourth proportional to 27,859.64, 38,446.24 and 15,284.36 is: 21,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.64 : 38,446.24 = 15,284.36 : x
  2. Step 2: Convert to fraction form
    27,859.64/38,446.24 = 15,284.36/x
  3. Step 3: Cross multiply
    27,859.64x = 38,446.24 × 15,284.36
  4. Step 4: Simplify right side
    27,859.64x = 587,626,172.81
  5. Step 5: Solve for x
    x = 587,626,172.81/27,859.64
  6. Step 6: Final answer
    x = 21,092.38

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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.