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Finding the Fourth Proportional to 15,786.39, 21,785.07 and 8,712.66

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Solution

The fourth proportional to 15,786.39, 21,785.07 and 8,712.66 is: 12,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.39 : 21,785.07 = 8,712.66 : x
  2. Step 2: Convert to fraction form
    15,786.39/21,785.07 = 8,712.66/x
  3. Step 3: Cross multiply
    15,786.39x = 21,785.07 × 8,712.66
  4. Step 4: Simplify right side
    15,786.39x = 189,805,907.99
  5. Step 5: Solve for x
    x = 189,805,907.99/15,786.39
  6. Step 6: Final answer
    x = 12,023.39

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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.