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Finding the Fourth Proportional to 12,531.64, 18,792.42 and 4,524.12

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Solution

The fourth proportional to 12,531.64, 18,792.42 and 4,524.12 is: 6,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.64 : 18,792.42 = 4,524.12 : x
  2. Step 2: Convert to fraction form
    12,531.64/18,792.42 = 4,524.12/x
  3. Step 3: Cross multiply
    12,531.64x = 18,792.42 × 4,524.12
  4. Step 4: Simplify right side
    12,531.64x = 85,019,163.17
  5. Step 5: Solve for x
    x = 85,019,163.17/12,531.64
  6. Step 6: Final answer
    x = 6,784.36

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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.