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Finding the Fourth Proportional to 27,003.42, 40,493.25 and 12,211.74

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Solution

The fourth proportional to 27,003.42, 40,493.25 and 12,211.74 is: 18,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003.42 : 40,493.25 = 12,211.74 : x
  2. Step 2: Convert to fraction form
    27,003.42/40,493.25 = 12,211.74/x
  3. Step 3: Cross multiply
    27,003.42x = 40,493.25 × 12,211.74
  4. Step 4: Simplify right side
    27,003.42x = 494,493,040.76
  5. Step 5: Solve for x
    x = 494,493,040.76/27,003.42
  6. Step 6: Final answer
    x = 18,312.24

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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.