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Finding the Fourth Proportional to 12,147.32, 18,220.12 and 7,468.05

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Solution

The fourth proportional to 12,147.32, 18,220.12 and 7,468.05 is: 11,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.32 : 18,220.12 = 7,468.05 : x
  2. Step 2: Convert to fraction form
    12,147.32/18,220.12 = 7,468.05/x
  3. Step 3: Cross multiply
    12,147.32x = 18,220.12 × 7,468.05
  4. Step 4: Simplify right side
    12,147.32x = 136,068,767.17
  5. Step 5: Solve for x
    x = 136,068,767.17/12,147.32
  6. Step 6: Final answer
    x = 11,201.55

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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.