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Finding the Fourth Proportional to 22,829, 34,196.33 and 13,440.09

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Solution

The fourth proportional to 22,829, 34,196.33 and 13,440.09 is: 20,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829 : 34,196.33 = 13,440.09 : x
  2. Step 2: Convert to fraction form
    22,829/34,196.33 = 13,440.09/x
  3. Step 3: Cross multiply
    22,829x = 34,196.33 × 13,440.09
  4. Step 4: Simplify right side
    22,829x = 459,601,752.87
  5. Step 5: Solve for x
    x = 459,601,752.87/22,829
  6. Step 6: Final answer
    x = 20,132.36

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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.