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Finding the Fourth Proportional to 22,270.86, 33,408.50 and 6,476.04

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Solution

The fourth proportional to 22,270.86, 33,408.50 and 6,476.04 is: 9,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.86 : 33,408.50 = 6,476.04 : x
  2. Step 2: Convert to fraction form
    22,270.86/33,408.50 = 6,476.04/x
  3. Step 3: Cross multiply
    22,270.86x = 33,408.50 × 6,476.04
  4. Step 4: Simplify right side
    22,270.86x = 216,354,749.96
  5. Step 5: Solve for x
    x = 216,354,749.96/22,270.86
  6. Step 6: Final answer
    x = 9,714.70

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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.