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Finding the Fourth Proportional to 22,905.89, 31,609.74 and 12,834.30

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Solution

The fourth proportional to 22,905.89, 31,609.74 and 12,834.30 is: 17,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.89 : 31,609.74 = 12,834.30 : x
  2. Step 2: Convert to fraction form
    22,905.89/31,609.74 = 12,834.30/x
  3. Step 3: Cross multiply
    22,905.89x = 31,609.74 × 12,834.30
  4. Step 4: Simplify right side
    22,905.89x = 405,688,837.95
  5. Step 5: Solve for x
    x = 405,688,837.95/22,905.89
  6. Step 6: Final answer
    x = 17,711.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.