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Finding the Fourth Proportional to 12,201.39, 18,274.55 and 7,444.80

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Solution

The fourth proportional to 12,201.39, 18,274.55 and 7,444.80 is: 11,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.39 : 18,274.55 = 7,444.80 : x
  2. Step 2: Convert to fraction form
    12,201.39/18,274.55 = 7,444.80/x
  3. Step 3: Cross multiply
    12,201.39x = 18,274.55 × 7,444.80
  4. Step 4: Simplify right side
    12,201.39x = 136,050,332.62
  5. Step 5: Solve for x
    x = 136,050,332.62/12,201.39
  6. Step 6: Final answer
    x = 11,150.40

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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.