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Finding the Fourth Proportional to 22,685.10, 34,027.41 and 7,102.86

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Solution

The fourth proportional to 22,685.10, 34,027.41 and 7,102.86 is: 10,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.10 : 34,027.41 = 7,102.86 : x
  2. Step 2: Convert to fraction form
    22,685.10/34,027.41 = 7,102.86/x
  3. Step 3: Cross multiply
    22,685.10x = 34,027.41 × 7,102.86
  4. Step 4: Simplify right side
    22,685.10x = 241,691,929.39
  5. Step 5: Solve for x
    x = 241,691,929.39/22,685.10
  6. Step 6: Final answer
    x = 10,654.21

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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.