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Finding the Fourth Proportional to 13,468.70, 20,201.13 and 4,233.50

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Solution

The fourth proportional to 13,468.70, 20,201.13 and 4,233.50 is: 6,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.70 : 20,201.13 = 4,233.50 : x
  2. Step 2: Convert to fraction form
    13,468.70/20,201.13 = 4,233.50/x
  3. Step 3: Cross multiply
    13,468.70x = 20,201.13 × 4,233.50
  4. Step 4: Simplify right side
    13,468.70x = 85,521,483.86
  5. Step 5: Solve for x
    x = 85,521,483.86/13,468.70
  6. Step 6: Final answer
    x = 6,349.65

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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.