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Finding the Fourth Proportional to 15,786.77, 23,694.03 and 6,426.77

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Solution

The fourth proportional to 15,786.77, 23,694.03 and 6,426.77 is: 9,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.77 : 23,694.03 = 6,426.77 : x
  2. Step 2: Convert to fraction form
    15,786.77/23,694.03 = 6,426.77/x
  3. Step 3: Cross multiply
    15,786.77x = 23,694.03 × 6,426.77
  4. Step 4: Simplify right side
    15,786.77x = 152,275,962.71
  5. Step 5: Solve for x
    x = 152,275,962.71/15,786.77
  6. Step 6: Final answer
    x = 9,645.80

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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.