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Finding the Fourth Proportional to 16,371, 24,558.78 and 5,837.94

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Solution

The fourth proportional to 16,371, 24,558.78 and 5,837.94 is: 8,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371 : 24,558.78 = 5,837.94 : x
  2. Step 2: Convert to fraction form
    16,371/24,558.78 = 5,837.94/x
  3. Step 3: Cross multiply
    16,371x = 24,558.78 × 5,837.94
  4. Step 4: Simplify right side
    16,371x = 143,372,684.11
  5. Step 5: Solve for x
    x = 143,372,684.11/16,371
  6. Step 6: Final answer
    x = 8,757.72

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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.