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Finding the Fourth Proportional to 23,642.84, 32,627.10 and 12,887.73

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Solution

The fourth proportional to 23,642.84, 32,627.10 and 12,887.73 is: 17,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.84 : 32,627.10 = 12,887.73 : x
  2. Step 2: Convert to fraction form
    23,642.84/32,627.10 = 12,887.73/x
  3. Step 3: Cross multiply
    23,642.84x = 32,627.10 × 12,887.73
  4. Step 4: Simplify right side
    23,642.84x = 420,489,255.48
  5. Step 5: Solve for x
    x = 420,489,255.48/23,642.84
  6. Step 6: Final answer
    x = 17,785.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.