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Finding the Fourth Proportional to 15,932.20, 23,904.72 and 7,171.24

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Solution

The fourth proportional to 15,932.20, 23,904.72 and 7,171.24 is: 10,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.20 : 23,904.72 = 7,171.24 : x
  2. Step 2: Convert to fraction form
    15,932.20/23,904.72 = 7,171.24/x
  3. Step 3: Cross multiply
    15,932.20x = 23,904.72 × 7,171.24
  4. Step 4: Simplify right side
    15,932.20x = 171,426,484.25
  5. Step 5: Solve for x
    x = 171,426,484.25/15,932.20
  6. Step 6: Final answer
    x = 10,759.75

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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.