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Finding the Fourth Proportional to 13,555, 20,332.50 and 4,321

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Solution

The fourth proportional to 13,555, 20,332.50 and 4,321 is: 6,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,555 : 20,332.50 = 4,321 : x
  2. Step 2: Convert to fraction form
    13,555/20,332.50 = 4,321/x
  3. Step 3: Cross multiply
    13,555x = 20,332.50 × 4,321
  4. Step 4: Simplify right side
    13,555x = 87,856,732.50
  5. Step 5: Solve for x
    x = 87,856,732.50/13,555
  6. Step 6: Final answer
    x = 6,481.50

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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.