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Finding the Fourth Proportional to 23,645.38, 32,624.73 and 15,028.42

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Solution

The fourth proportional to 23,645.38, 32,624.73 and 15,028.42 is: 20,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.38 : 32,624.73 = 15,028.42 : x
  2. Step 2: Convert to fraction form
    23,645.38/32,624.73 = 15,028.42/x
  3. Step 3: Cross multiply
    23,645.38x = 32,624.73 × 15,028.42
  4. Step 4: Simplify right side
    23,645.38x = 490,298,144.83
  5. Step 5: Solve for x
    x = 490,298,144.83/23,645.38
  6. Step 6: Final answer
    x = 20,735.47

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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.