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Finding the Fourth Proportional to 13,703.11, 18,909.89 and 7,735.33

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Solution

The fourth proportional to 13,703.11, 18,909.89 and 7,735.33 is: 10,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.11 : 18,909.89 = 7,735.33 : x
  2. Step 2: Convert to fraction form
    13,703.11/18,909.89 = 7,735.33/x
  3. Step 3: Cross multiply
    13,703.11x = 18,909.89 × 7,735.33
  4. Step 4: Simplify right side
    13,703.11x = 146,274,253.38
  5. Step 5: Solve for x
    x = 146,274,253.38/13,703.11
  6. Step 6: Final answer
    x = 10,674.53

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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.