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Finding the Fourth Proportional to 23,788.09, 35,682.14 and 8,204.50

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Solution

The fourth proportional to 23,788.09, 35,682.14 and 8,204.50 is: 12,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.09 : 35,682.14 = 8,204.50 : x
  2. Step 2: Convert to fraction form
    23,788.09/35,682.14 = 8,204.50/x
  3. Step 3: Cross multiply
    23,788.09x = 35,682.14 × 8,204.50
  4. Step 4: Simplify right side
    23,788.09x = 292,754,076.61
  5. Step 5: Solve for x
    x = 292,754,076.61/23,788.09
  6. Step 6: Final answer
    x = 12,306.75

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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.