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Finding the Fourth Proportional to 22,400.46, 33,590.96 and 6,814.44

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Solution

The fourth proportional to 22,400.46, 33,590.96 and 6,814.44 is: 10,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400.46 : 33,590.96 = 6,814.44 : x
  2. Step 2: Convert to fraction form
    22,400.46/33,590.96 = 6,814.44/x
  3. Step 3: Cross multiply
    22,400.46x = 33,590.96 × 6,814.44
  4. Step 4: Simplify right side
    22,400.46x = 228,903,581.46
  5. Step 5: Solve for x
    x = 228,903,581.46/22,400.46
  6. Step 6: Final answer
    x = 10,218.70

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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.