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Finding the Fourth Proportional to 20,557.41, 30,826.50 and 7,408.05

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Solution

The fourth proportional to 20,557.41, 30,826.50 and 7,408.05 is: 11,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.41 : 30,826.50 = 7,408.05 : x
  2. Step 2: Convert to fraction form
    20,557.41/30,826.50 = 7,408.05/x
  3. Step 3: Cross multiply
    20,557.41x = 30,826.50 × 7,408.05
  4. Step 4: Simplify right side
    20,557.41x = 228,364,253.33
  5. Step 5: Solve for x
    x = 228,364,253.33/20,557.41
  6. Step 6: Final answer
    x = 11,108.61

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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.