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Finding the Fourth Proportional to 27,099.66, 40,653.81 and 8,375.28

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Solution

The fourth proportional to 27,099.66, 40,653.81 and 8,375.28 is: 12,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099.66 : 40,653.81 = 8,375.28 : x
  2. Step 2: Convert to fraction form
    27,099.66/40,653.81 = 8,375.28/x
  3. Step 3: Cross multiply
    27,099.66x = 40,653.81 × 8,375.28
  4. Step 4: Simplify right side
    27,099.66x = 340,487,041.82
  5. Step 5: Solve for x
    x = 340,487,041.82/27,099.66
  6. Step 6: Final answer
    x = 12,564.26

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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.