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Finding the Fourth Proportional to 12,356.69, 17,049.56 and 7,322.47

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Solution

The fourth proportional to 12,356.69, 17,049.56 and 7,322.47 is: 10,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.69 : 17,049.56 = 7,322.47 : x
  2. Step 2: Convert to fraction form
    12,356.69/17,049.56 = 7,322.47/x
  3. Step 3: Cross multiply
    12,356.69x = 17,049.56 × 7,322.47
  4. Step 4: Simplify right side
    12,356.69x = 124,844,812.38
  5. Step 5: Solve for x
    x = 124,844,812.38/12,356.69
  6. Step 6: Final answer
    x = 10,103.42

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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.