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Finding the Fourth Proportional to 12,364.85, 18,522.56 and 7,431.80

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Solution

The fourth proportional to 12,364.85, 18,522.56 and 7,431.80 is: 11,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.85 : 18,522.56 = 7,431.80 : x
  2. Step 2: Convert to fraction form
    12,364.85/18,522.56 = 7,431.80/x
  3. Step 3: Cross multiply
    12,364.85x = 18,522.56 × 7,431.80
  4. Step 4: Simplify right side
    12,364.85x = 137,655,961.41
  5. Step 5: Solve for x
    x = 137,655,961.41/12,364.85
  6. Step 6: Final answer
    x = 11,132.85

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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.