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Finding the Fourth Proportional to 15,752.28, 21,738.16 and 8,582.16

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Solution

The fourth proportional to 15,752.28, 21,738.16 and 8,582.16 is: 11,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.28 : 21,738.16 = 8,582.16 : x
  2. Step 2: Convert to fraction form
    15,752.28/21,738.16 = 8,582.16/x
  3. Step 3: Cross multiply
    15,752.28x = 21,738.16 × 8,582.16
  4. Step 4: Simplify right side
    15,752.28x = 186,560,367.23
  5. Step 5: Solve for x
    x = 186,560,367.23/15,752.28
  6. Step 6: Final answer
    x = 11,843.39

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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.