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Finding the Fourth Proportional to 22,048.14, 30,425.56 and 11,976.38

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Solution

The fourth proportional to 22,048.14, 30,425.56 and 11,976.38 is: 16,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.14 : 30,425.56 = 11,976.38 : x
  2. Step 2: Convert to fraction form
    22,048.14/30,425.56 = 11,976.38/x
  3. Step 3: Cross multiply
    22,048.14x = 30,425.56 × 11,976.38
  4. Step 4: Simplify right side
    22,048.14x = 364,387,886.20
  5. Step 5: Solve for x
    x = 364,387,886.20/22,048.14
  6. Step 6: Final answer
    x = 16,526.92

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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.