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Finding the Fourth Proportional to 13,277.40, 18,323.10 and 7,309.38

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Solution

The fourth proportional to 13,277.40, 18,323.10 and 7,309.38 is: 10,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.40 : 18,323.10 = 7,309.38 : x
  2. Step 2: Convert to fraction form
    13,277.40/18,323.10 = 7,309.38/x
  3. Step 3: Cross multiply
    13,277.40x = 18,323.10 × 7,309.38
  4. Step 4: Simplify right side
    13,277.40x = 133,930,500.68
  5. Step 5: Solve for x
    x = 133,930,500.68/13,277.40
  6. Step 6: Final answer
    x = 10,087.10

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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.