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Finding the Fourth Proportional to 22,059.41, 30,442.23 and 11,987.87

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Solution

The fourth proportional to 22,059.41, 30,442.23 and 11,987.87 is: 16,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,059.41 : 30,442.23 = 11,987.87 : x
  2. Step 2: Convert to fraction form
    22,059.41/30,442.23 = 11,987.87/x
  3. Step 3: Cross multiply
    22,059.41x = 30,442.23 × 11,987.87
  4. Step 4: Simplify right side
    22,059.41x = 364,937,343.54
  5. Step 5: Solve for x
    x = 364,937,343.54/22,059.41
  6. Step 6: Final answer
    x = 16,543.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.