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Finding the Fourth Proportional to 22,709.29, 34,063.54 and 10,220.48

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Solution

The fourth proportional to 22,709.29, 34,063.54 and 10,220.48 is: 15,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.29 : 34,063.54 = 10,220.48 : x
  2. Step 2: Convert to fraction form
    22,709.29/34,063.54 = 10,220.48/x
  3. Step 3: Cross multiply
    22,709.29x = 34,063.54 × 10,220.48
  4. Step 4: Simplify right side
    22,709.29x = 348,145,729.30
  5. Step 5: Solve for x
    x = 348,145,729.30/22,709.29
  6. Step 6: Final answer
    x = 15,330.54

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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.