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Finding the Fourth Proportional to 22,812.36, 34,212.60 and 9,657.96

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Solution

The fourth proportional to 22,812.36, 34,212.60 and 9,657.96 is: 14,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.36 : 34,212.60 = 9,657.96 : x
  2. Step 2: Convert to fraction form
    22,812.36/34,212.60 = 9,657.96/x
  3. Step 3: Cross multiply
    22,812.36x = 34,212.60 × 9,657.96
  4. Step 4: Simplify right side
    22,812.36x = 330,423,922.30
  5. Step 5: Solve for x
    x = 330,423,922.30/22,812.36
  6. Step 6: Final answer
    x = 14,484.43

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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.