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Finding the Fourth Proportional to 12,822.76, 17,695.83 and 7,444.78

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Solution

The fourth proportional to 12,822.76, 17,695.83 and 7,444.78 is: 10,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.76 : 17,695.83 = 7,444.78 : x
  2. Step 2: Convert to fraction form
    12,822.76/17,695.83 = 7,444.78/x
  3. Step 3: Cross multiply
    12,822.76x = 17,695.83 × 7,444.78
  4. Step 4: Simplify right side
    12,822.76x = 131,741,561.27
  5. Step 5: Solve for x
    x = 131,741,561.27/12,822.76
  6. Step 6: Final answer
    x = 10,274.04

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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.