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Finding the Fourth Proportional to 12,822.80, 17,698.28 and 8,338.77

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Solution

The fourth proportional to 12,822.80, 17,698.28 and 8,338.77 is: 11,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.80 : 17,698.28 = 8,338.77 : x
  2. Step 2: Convert to fraction form
    12,822.80/17,698.28 = 8,338.77/x
  3. Step 3: Cross multiply
    12,822.80x = 17,698.28 × 8,338.77
  4. Step 4: Simplify right side
    12,822.80x = 147,581,844.62
  5. Step 5: Solve for x
    x = 147,581,844.62/12,822.80
  6. Step 6: Final answer
    x = 11,509.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.