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Finding the Fourth Proportional to 16,406.41, 24,606.98 and 5,874.48

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Solution

The fourth proportional to 16,406.41, 24,606.98 and 5,874.48 is: 8,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.41 : 24,606.98 = 5,874.48 : x
  2. Step 2: Convert to fraction form
    16,406.41/24,606.98 = 5,874.48/x
  3. Step 3: Cross multiply
    16,406.41x = 24,606.98 × 5,874.48
  4. Step 4: Simplify right side
    16,406.41x = 144,553,211.87
  5. Step 5: Solve for x
    x = 144,553,211.87/16,406.41
  6. Step 6: Final answer
    x = 8,810.78

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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.