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Finding the Fourth Proportional to 17,077.76, 25,617.96 and 6,552.82

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Solution

The fourth proportional to 17,077.76, 25,617.96 and 6,552.82 is: 9,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.76 : 25,617.96 = 6,552.82 : x
  2. Step 2: Convert to fraction form
    17,077.76/25,617.96 = 6,552.82/x
  3. Step 3: Cross multiply
    17,077.76x = 25,617.96 × 6,552.82
  4. Step 4: Simplify right side
    17,077.76x = 167,869,880.65
  5. Step 5: Solve for x
    x = 167,869,880.65/17,077.76
  6. Step 6: Final answer
    x = 9,829.74

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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.