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Finding the Fourth Proportional to 22,255.96, 30,713.16 and 12,184.60

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Solution

The fourth proportional to 22,255.96, 30,713.16 and 12,184.60 is: 16,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,255.96 : 30,713.16 = 12,184.60 : x
  2. Step 2: Convert to fraction form
    22,255.96/30,713.16 = 12,184.60/x
  3. Step 3: Cross multiply
    22,255.96x = 30,713.16 × 12,184.60
  4. Step 4: Simplify right side
    22,255.96x = 374,227,569.34
  5. Step 5: Solve for x
    x = 374,227,569.34/22,255.96
  6. Step 6: Final answer
    x = 16,814.71

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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.