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Finding the Fourth Proportional to 16,445.83, 24,663.16 and 5,349.77

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Solution

The fourth proportional to 16,445.83, 24,663.16 and 5,349.77 is: 8,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445.83 : 24,663.16 = 5,349.77 : x
  2. Step 2: Convert to fraction form
    16,445.83/24,663.16 = 5,349.77/x
  3. Step 3: Cross multiply
    16,445.83x = 24,663.16 × 5,349.77
  4. Step 4: Simplify right side
    16,445.83x = 131,942,083.41
  5. Step 5: Solve for x
    x = 131,942,083.41/16,445.83
  6. Step 6: Final answer
    x = 8,022.83

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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.