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Finding the Fourth Proportional to 15,033.64, 22,530.94 and 6,138.56

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Solution

The fourth proportional to 15,033.64, 22,530.94 and 6,138.56 is: 9,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033.64 : 22,530.94 = 6,138.56 : x
  2. Step 2: Convert to fraction form
    15,033.64/22,530.94 = 6,138.56/x
  3. Step 3: Cross multiply
    15,033.64x = 22,530.94 × 6,138.56
  4. Step 4: Simplify right side
    15,033.64x = 138,307,414.39
  5. Step 5: Solve for x
    x = 138,307,414.39/15,033.64
  6. Step 6: Final answer
    x = 9,199.86

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