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Finding the Fourth Proportional to 22,266.16, 30,727.31 and 12,194.63

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Solution

The fourth proportional to 22,266.16, 30,727.31 and 12,194.63 is: 16,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266.16 : 30,727.31 = 12,194.63 : x
  2. Step 2: Convert to fraction form
    22,266.16/30,727.31 = 12,194.63/x
  3. Step 3: Cross multiply
    22,266.16x = 30,727.31 × 12,194.63
  4. Step 4: Simplify right side
    22,266.16x = 374,708,038.55
  5. Step 5: Solve for x
    x = 374,708,038.55/22,266.16
  6. Step 6: Final answer
    x = 16,828.59

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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.