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Finding the Fourth Proportional to 16,383.86, 24,577.38 and 6,520.83

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Solution

The fourth proportional to 16,383.86, 24,577.38 and 6,520.83 is: 9,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.86 : 24,577.38 = 6,520.83 : x
  2. Step 2: Convert to fraction form
    16,383.86/24,577.38 = 6,520.83/x
  3. Step 3: Cross multiply
    16,383.86x = 24,577.38 × 6,520.83
  4. Step 4: Simplify right side
    16,383.86x = 160,264,916.83
  5. Step 5: Solve for x
    x = 160,264,916.83/16,383.86
  6. Step 6: Final answer
    x = 9,781.88

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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.