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Finding the Fourth Proportional to 13,069.80, 18,036.81 and 7,765.38

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Solution

The fourth proportional to 13,069.80, 18,036.81 and 7,765.38 is: 10,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.80 : 18,036.81 = 7,765.38 : x
  2. Step 2: Convert to fraction form
    13,069.80/18,036.81 = 7,765.38/x
  3. Step 3: Cross multiply
    13,069.80x = 18,036.81 × 7,765.38
  4. Step 4: Simplify right side
    13,069.80x = 140,062,683.64
  5. Step 5: Solve for x
    x = 140,062,683.64/13,069.80
  6. Step 6: Final answer
    x = 10,716.51

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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.