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Finding the Fourth Proportional to 20,602.88, 30,904.36 and 8,288

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Solution

The fourth proportional to 20,602.88, 30,904.36 and 8,288 is: 12,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.88 : 30,904.36 = 8,288 : x
  2. Step 2: Convert to fraction form
    20,602.88/30,904.36 = 8,288/x
  3. Step 3: Cross multiply
    20,602.88x = 30,904.36 × 8,288
  4. Step 4: Simplify right side
    20,602.88x = 256,135,335.68
  5. Step 5: Solve for x
    x = 256,135,335.68/20,602.88
  6. Step 6: Final answer
    x = 12,432.02

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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.