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Finding the Fourth Proportional to 20,795.16, 31,200.50 and 12,481.14

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Solution

The fourth proportional to 20,795.16, 31,200.50 and 12,481.14 is: 18,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,795.16 : 31,200.50 = 12,481.14 : x
  2. Step 2: Convert to fraction form
    20,795.16/31,200.50 = 12,481.14/x
  3. Step 3: Cross multiply
    20,795.16x = 31,200.50 × 12,481.14
  4. Step 4: Simplify right side
    20,795.16x = 389,417,808.57
  5. Step 5: Solve for x
    x = 389,417,808.57/20,795.16
  6. Step 6: Final answer
    x = 18,726.37

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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.