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Finding the Fourth Proportional to 15,589.76, 23,377.06 and 5,198

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Solution

The fourth proportional to 15,589.76, 23,377.06 and 5,198 is: 7,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.76 : 23,377.06 = 5,198 : x
  2. Step 2: Convert to fraction form
    15,589.76/23,377.06 = 5,198/x
  3. Step 3: Cross multiply
    15,589.76x = 23,377.06 × 5,198
  4. Step 4: Simplify right side
    15,589.76x = 121,513,957.88
  5. Step 5: Solve for x
    x = 121,513,957.88/15,589.76
  6. Step 6: Final answer
    x = 7,794.47

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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.