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Finding the Fourth Proportional to 22,348.92, 30,834.96 and 13,857.36

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Solution

The fourth proportional to 22,348.92, 30,834.96 and 13,857.36 is: 19,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348.92 : 30,834.96 = 13,857.36 : x
  2. Step 2: Convert to fraction form
    22,348.92/30,834.96 = 13,857.36/x
  3. Step 3: Cross multiply
    22,348.92x = 30,834.96 × 13,857.36
  4. Step 4: Simplify right side
    22,348.92x = 427,291,141.31
  5. Step 5: Solve for x
    x = 427,291,141.31/22,348.92
  6. Step 6: Final answer
    x = 19,119.10

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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.