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Finding the Fourth Proportional to 12,832, 19,255.68 and 5,536

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Solution

The fourth proportional to 12,832, 19,255.68 and 5,536 is: 8,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832 : 19,255.68 = 5,536 : x
  2. Step 2: Convert to fraction form
    12,832/19,255.68 = 5,536/x
  3. Step 3: Cross multiply
    12,832x = 19,255.68 × 5,536
  4. Step 4: Simplify right side
    12,832x = 106,599,444.48
  5. Step 5: Solve for x
    x = 106,599,444.48/12,832
  6. Step 6: Final answer
    x = 8,307.31

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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.