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Finding the Fourth Proportional to 18,200.61, 27,301.46 and 7,106.85

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Solution

The fourth proportional to 18,200.61, 27,301.46 and 7,106.85 is: 10,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.61 : 27,301.46 = 7,106.85 : x
  2. Step 2: Convert to fraction form
    18,200.61/27,301.46 = 7,106.85/x
  3. Step 3: Cross multiply
    18,200.61x = 27,301.46 × 7,106.85
  4. Step 4: Simplify right side
    18,200.61x = 194,027,345.47
  5. Step 5: Solve for x
    x = 194,027,345.47/18,200.61
  6. Step 6: Final answer
    x = 10,660.49

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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.