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Finding the Fourth Proportional to 13,658.50, 20,483.17 and 5,336.35

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Solution

The fourth proportional to 13,658.50, 20,483.17 and 5,336.35 is: 8,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.50 : 20,483.17 = 5,336.35 : x
  2. Step 2: Convert to fraction form
    13,658.50/20,483.17 = 5,336.35/x
  3. Step 3: Cross multiply
    13,658.50x = 20,483.17 × 5,336.35
  4. Step 4: Simplify right side
    13,658.50x = 109,305,364.23
  5. Step 5: Solve for x
    x = 109,305,364.23/13,658.50
  6. Step 6: Final answer
    x = 8,002.74

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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.