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Finding the Fourth Proportional to 18,322.74, 25,278.64 and 11,149.74

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Solution

The fourth proportional to 18,322.74, 25,278.64 and 11,149.74 is: 15,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322.74 : 25,278.64 = 11,149.74 : x
  2. Step 2: Convert to fraction form
    18,322.74/25,278.64 = 11,149.74/x
  3. Step 3: Cross multiply
    18,322.74x = 25,278.64 × 11,149.74
  4. Step 4: Simplify right side
    18,322.74x = 281,850,263.55
  5. Step 5: Solve for x
    x = 281,850,263.55/18,322.74
  6. Step 6: Final answer
    x = 15,382.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.