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Finding the Fourth Proportional to 17,099.76, 25,649.62 and 4,787.76

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Solution

The fourth proportional to 17,099.76, 25,649.62 and 4,787.76 is: 7,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.76 : 25,649.62 = 4,787.76 : x
  2. Step 2: Convert to fraction form
    17,099.76/25,649.62 = 4,787.76/x
  3. Step 3: Cross multiply
    17,099.76x = 25,649.62 × 4,787.76
  4. Step 4: Simplify right side
    17,099.76x = 122,804,224.65
  5. Step 5: Solve for x
    x = 122,804,224.65/17,099.76
  6. Step 6: Final answer
    x = 7,181.63

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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.