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Finding the Fourth Proportional to 18,346.50, 27,525.83 and 7,816.10

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Solution

The fourth proportional to 18,346.50, 27,525.83 and 7,816.10 is: 11,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346.50 : 27,525.83 = 7,816.10 : x
  2. Step 2: Convert to fraction form
    18,346.50/27,525.83 = 7,816.10/x
  3. Step 3: Cross multiply
    18,346.50x = 27,525.83 × 7,816.10
  4. Step 4: Simplify right side
    18,346.50x = 215,144,463.15
  5. Step 5: Solve for x
    x = 215,144,463.15/18,346.50
  6. Step 6: Final answer
    x = 11,726.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.