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Finding the Fourth Proportional to 16,537.86, 24,806.49 and 5,444.64

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Solution

The fourth proportional to 16,537.86, 24,806.49 and 5,444.64 is: 8,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.86 : 24,806.49 = 5,444.64 : x
  2. Step 2: Convert to fraction form
    16,537.86/24,806.49 = 5,444.64/x
  3. Step 3: Cross multiply
    16,537.86x = 24,806.49 × 5,444.64
  4. Step 4: Simplify right side
    16,537.86x = 135,062,407.71
  5. Step 5: Solve for x
    x = 135,062,407.71/16,537.86
  6. Step 6: Final answer
    x = 8,166.86

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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.