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Finding the Fourth Proportional to 21,441.69, 32,141.25 and 10,177.29

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Solution

The fourth proportional to 21,441.69, 32,141.25 and 10,177.29 is: 15,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.69 : 32,141.25 = 10,177.29 : x
  2. Step 2: Convert to fraction form
    21,441.69/32,141.25 = 10,177.29/x
  3. Step 3: Cross multiply
    21,441.69x = 32,141.25 × 10,177.29
  4. Step 4: Simplify right side
    21,441.69x = 327,110,822.21
  5. Step 5: Solve for x
    x = 327,110,822.21/21,441.69
  6. Step 6: Final answer
    x = 15,255.83

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