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Finding the Fourth Proportional to 23,765.38, 32,795.83 and 13,154.79

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Solution

The fourth proportional to 23,765.38, 32,795.83 and 13,154.79 is: 18,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.38 : 32,795.83 = 13,154.79 : x
  2. Step 2: Convert to fraction form
    23,765.38/32,795.83 = 13,154.79/x
  3. Step 3: Cross multiply
    23,765.38x = 32,795.83 × 13,154.79
  4. Step 4: Simplify right side
    23,765.38x = 431,422,059.66
  5. Step 5: Solve for x
    x = 431,422,059.66/23,765.38
  6. Step 6: Final answer
    x = 18,153.38

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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.