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Finding the Fourth Proportional to 12,148.58, 18,181.72 and 7,471.55

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Solution

The fourth proportional to 12,148.58, 18,181.72 and 7,471.55 is: 11,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.58 : 18,181.72 = 7,471.55 : x
  2. Step 2: Convert to fraction form
    12,148.58/18,181.72 = 7,471.55/x
  3. Step 3: Cross multiply
    12,148.58x = 18,181.72 × 7,471.55
  4. Step 4: Simplify right side
    12,148.58x = 135,845,630.07
  5. Step 5: Solve for x
    x = 135,845,630.07/12,148.58
  6. Step 6: Final answer
    x = 11,182.02

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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.