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Finding the Fourth Proportional to 16,467.68, 24,701.52 and 6,077

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Solution

The fourth proportional to 16,467.68, 24,701.52 and 6,077 is: 9,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.68 : 24,701.52 = 6,077 : x
  2. Step 2: Convert to fraction form
    16,467.68/24,701.52 = 6,077/x
  3. Step 3: Cross multiply
    16,467.68x = 24,701.52 × 6,077
  4. Step 4: Simplify right side
    16,467.68x = 150,111,137.04
  5. Step 5: Solve for x
    x = 150,111,137.04/16,467.68
  6. Step 6: Final answer
    x = 9,115.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.