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Finding the Fourth Proportional to 12,125.61, 18,188.21 and 5,884.56

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Solution

The fourth proportional to 12,125.61, 18,188.21 and 5,884.56 is: 8,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.61 : 18,188.21 = 5,884.56 : x
  2. Step 2: Convert to fraction form
    12,125.61/18,188.21 = 5,884.56/x
  3. Step 3: Cross multiply
    12,125.61x = 18,188.21 × 5,884.56
  4. Step 4: Simplify right side
    12,125.61x = 107,029,627.75
  5. Step 5: Solve for x
    x = 107,029,627.75/12,125.61
  6. Step 6: Final answer
    x = 8,826.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.