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Finding the Fourth Proportional to 15,923.67, 23,891.99 and 7,162.71

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Solution

The fourth proportional to 15,923.67, 23,891.99 and 7,162.71 is: 10,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.67 : 23,891.99 = 7,162.71 : x
  2. Step 2: Convert to fraction form
    15,923.67/23,891.99 = 7,162.71/x
  3. Step 3: Cross multiply
    15,923.67x = 23,891.99 × 7,162.71
  4. Step 4: Simplify right side
    15,923.67x = 171,131,359.88
  5. Step 5: Solve for x
    x = 171,131,359.88/15,923.67
  6. Step 6: Final answer
    x = 10,746.98

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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.