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Finding the Fourth Proportional to 12,777.97, 17,633.45 and 7,112.63

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Solution

The fourth proportional to 12,777.97, 17,633.45 and 7,112.63 is: 9,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.97 : 17,633.45 = 7,112.63 : x
  2. Step 2: Convert to fraction form
    12,777.97/17,633.45 = 7,112.63/x
  3. Step 3: Cross multiply
    12,777.97x = 17,633.45 × 7,112.63
  4. Step 4: Simplify right side
    12,777.97x = 125,420,205.47
  5. Step 5: Solve for x
    x = 125,420,205.47/12,777.97
  6. Step 6: Final answer
    x = 9,815.35

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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.