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Finding the Fourth Proportional to 12,274.22, 16,952.21 and 8,288.41

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Solution

The fourth proportional to 12,274.22, 16,952.21 and 8,288.41 is: 11,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.22 : 16,952.21 = 8,288.41 : x
  2. Step 2: Convert to fraction form
    12,274.22/16,952.21 = 8,288.41/x
  3. Step 3: Cross multiply
    12,274.22x = 16,952.21 × 8,288.41
  4. Step 4: Simplify right side
    12,274.22x = 140,506,824.51
  5. Step 5: Solve for x
    x = 140,506,824.51/12,274.22
  6. Step 6: Final answer
    x = 11,447.32

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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.