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Finding the Fourth Proportional to 22,254.12, 30,709.69 and 12,182.98

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Solution

The fourth proportional to 22,254.12, 30,709.69 and 12,182.98 is: 16,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254.12 : 30,709.69 = 12,182.98 : x
  2. Step 2: Convert to fraction form
    22,254.12/30,709.69 = 12,182.98/x
  3. Step 3: Cross multiply
    22,254.12x = 30,709.69 × 12,182.98
  4. Step 4: Simplify right side
    22,254.12x = 374,135,539.08
  5. Step 5: Solve for x
    x = 374,135,539.08/22,254.12
  6. Step 6: Final answer
    x = 16,811.97

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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.