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Finding the Fourth Proportional to 27,099.64, 40,639.34 and 9,325.32

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Solution

The fourth proportional to 27,099.64, 40,639.34 and 9,325.32 is: 13,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099.64 : 40,639.34 = 9,325.32 : x
  2. Step 2: Convert to fraction form
    27,099.64/40,639.34 = 9,325.32/x
  3. Step 3: Cross multiply
    27,099.64x = 40,639.34 × 9,325.32
  4. Step 4: Simplify right side
    27,099.64x = 378,974,850.09
  5. Step 5: Solve for x
    x = 378,974,850.09/27,099.64
  6. Step 6: Final answer
    x = 13,984.50

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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.