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Finding the Fourth Proportional to 15,490.97, 23,222.38 and 7,168.76

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Solution

The fourth proportional to 15,490.97, 23,222.38 and 7,168.76 is: 10,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.97 : 23,222.38 = 7,168.76 : x
  2. Step 2: Convert to fraction form
    15,490.97/23,222.38 = 7,168.76/x
  3. Step 3: Cross multiply
    15,490.97x = 23,222.38 × 7,168.76
  4. Step 4: Simplify right side
    15,490.97x = 166,475,668.85
  5. Step 5: Solve for x
    x = 166,475,668.85/15,490.97
  6. Step 6: Final answer
    x = 10,746.63

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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.