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Finding the Fourth Proportional to 12,137.43, 18,213.20 and 5,117.01

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Solution

The fourth proportional to 12,137.43, 18,213.20 and 5,117.01 is: 7,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.43 : 18,213.20 = 5,117.01 : x
  2. Step 2: Convert to fraction form
    12,137.43/18,213.20 = 5,117.01/x
  3. Step 3: Cross multiply
    12,137.43x = 18,213.20 × 5,117.01
  4. Step 4: Simplify right side
    12,137.43x = 93,197,080.62
  5. Step 5: Solve for x
    x = 93,197,080.62/12,137.43
  6. Step 6: Final answer
    x = 7,678.49

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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.