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Finding the Fourth Proportional to 15,046.44, 22,571.84 and 4,659

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Solution

The fourth proportional to 15,046.44, 22,571.84 and 4,659 is: 6,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.44 : 22,571.84 = 4,659 : x
  2. Step 2: Convert to fraction form
    15,046.44/22,571.84 = 4,659/x
  3. Step 3: Cross multiply
    15,046.44x = 22,571.84 × 4,659
  4. Step 4: Simplify right side
    15,046.44x = 105,162,202.56
  5. Step 5: Solve for x
    x = 105,162,202.56/15,046.44
  6. Step 6: Final answer
    x = 6,989.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.