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Finding the Fourth Proportional to 15,923.17, 23,891.24 and 7,162.21

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Solution

The fourth proportional to 15,923.17, 23,891.24 and 7,162.21 is: 10,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.17 : 23,891.24 = 7,162.21 : x
  2. Step 2: Convert to fraction form
    15,923.17/23,891.24 = 7,162.21/x
  3. Step 3: Cross multiply
    15,923.17x = 23,891.24 × 7,162.21
  4. Step 4: Simplify right side
    15,923.17x = 171,114,042.23
  5. Step 5: Solve for x
    x = 171,114,042.23/15,923.17
  6. Step 6: Final answer
    x = 10,746.23

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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.