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Finding the Fourth Proportional to 22,147.36, 30,602.24 and 17,707.76

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Solution

The fourth proportional to 22,147.36, 30,602.24 and 17,707.76 is: 24,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.36 : 30,602.24 = 17,707.76 : x
  2. Step 2: Convert to fraction form
    22,147.36/30,602.24 = 17,707.76/x
  3. Step 3: Cross multiply
    22,147.36x = 30,602.24 × 17,707.76
  4. Step 4: Simplify right side
    22,147.36x = 541,897,121.38
  5. Step 5: Solve for x
    x = 541,897,121.38/22,147.36
  6. Step 6: Final answer
    x = 24,467.80

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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.