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Finding the Fourth Proportional to 16,171, 24,255.76 and 6,312.08

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Solution

The fourth proportional to 16,171, 24,255.76 and 6,312.08 is: 9,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171 : 24,255.76 = 6,312.08 : x
  2. Step 2: Convert to fraction form
    16,171/24,255.76 = 6,312.08/x
  3. Step 3: Cross multiply
    16,171x = 24,255.76 × 6,312.08
  4. Step 4: Simplify right side
    16,171x = 153,104,297.58
  5. Step 5: Solve for x
    x = 153,104,297.58/16,171
  6. Step 6: Final answer
    x = 9,467.83

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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.