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Finding the Fourth Proportional to 23,483.92, 32,408.56 and 12,874.22

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Solution

The fourth proportional to 23,483.92, 32,408.56 and 12,874.22 is: 17,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,483.92 : 32,408.56 = 12,874.22 : x
  2. Step 2: Convert to fraction form
    23,483.92/32,408.56 = 12,874.22/x
  3. Step 3: Cross multiply
    23,483.92x = 32,408.56 × 12,874.22
  4. Step 4: Simplify right side
    23,483.92x = 417,234,931.32
  5. Step 5: Solve for x
    x = 417,234,931.32/23,483.92
  6. Step 6: Final answer
    x = 17,766.83

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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.