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Finding the Fourth Proportional to 22,814.96, 34,189.62 and 9,649.22

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Solution

The fourth proportional to 22,814.96, 34,189.62 and 9,649.22 is: 14,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.96 : 34,189.62 = 9,649.22 : x
  2. Step 2: Convert to fraction form
    22,814.96/34,189.62 = 9,649.22/x
  3. Step 3: Cross multiply
    22,814.96x = 34,189.62 × 9,649.22
  4. Step 4: Simplify right side
    22,814.96x = 329,902,994.15
  5. Step 5: Solve for x
    x = 329,902,994.15/22,814.96
  6. Step 6: Final answer
    x = 14,459.94

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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.