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Finding the Fourth Proportional to 14,500.50, 21,736.17 and 7,483.47

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Solution

The fourth proportional to 14,500.50, 21,736.17 and 7,483.47 is: 11,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.50 : 21,736.17 = 7,483.47 : x
  2. Step 2: Convert to fraction form
    14,500.50/21,736.17 = 7,483.47/x
  3. Step 3: Cross multiply
    14,500.50x = 21,736.17 × 7,483.47
  4. Step 4: Simplify right side
    14,500.50x = 162,661,976.11
  5. Step 5: Solve for x
    x = 162,661,976.11/14,500.50
  6. Step 6: Final answer
    x = 11,217.68

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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.