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Finding the Fourth Proportional to 22,126.86, 30,537.54 and 13,174.38

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Solution

The fourth proportional to 22,126.86, 30,537.54 and 13,174.38 is: 18,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,126.86 : 30,537.54 = 13,174.38 : x
  2. Step 2: Convert to fraction form
    22,126.86/30,537.54 = 13,174.38/x
  3. Step 3: Cross multiply
    22,126.86x = 30,537.54 × 13,174.38
  4. Step 4: Simplify right side
    22,126.86x = 402,313,156.23
  5. Step 5: Solve for x
    x = 402,313,156.23/22,126.86
  6. Step 6: Final answer
    x = 18,182.12

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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.