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Finding the Fourth Proportional to 20,552.38, 30,810.06 and 7,395.50

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Solution

The fourth proportional to 20,552.38, 30,810.06 and 7,395.50 is: 11,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.38 : 30,810.06 = 7,395.50 : x
  2. Step 2: Convert to fraction form
    20,552.38/30,810.06 = 7,395.50/x
  3. Step 3: Cross multiply
    20,552.38x = 30,810.06 × 7,395.50
  4. Step 4: Simplify right side
    20,552.38x = 227,855,798.73
  5. Step 5: Solve for x
    x = 227,855,798.73/20,552.38
  6. Step 6: Final answer
    x = 11,086.59

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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.