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Finding the Fourth Proportional to 13,277.69, 18,322.57 and 7,309.23

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Solution

The fourth proportional to 13,277.69, 18,322.57 and 7,309.23 is: 10,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.69 : 18,322.57 = 7,309.23 : x
  2. Step 2: Convert to fraction form
    13,277.69/18,322.57 = 7,309.23/x
  3. Step 3: Cross multiply
    13,277.69x = 18,322.57 × 7,309.23
  4. Step 4: Simplify right side
    13,277.69x = 133,923,878.32
  5. Step 5: Solve for x
    x = 133,923,878.32/13,277.69
  6. Step 6: Final answer
    x = 10,086.38

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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.