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Finding the Fourth Proportional to 22,813.65, 34,220.07 and 11,713.82

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Solution

The fourth proportional to 22,813.65, 34,220.07 and 11,713.82 is: 17,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.65 : 34,220.07 = 11,713.82 : x
  2. Step 2: Convert to fraction form
    22,813.65/34,220.07 = 11,713.82/x
  3. Step 3: Cross multiply
    22,813.65x = 34,220.07 × 11,713.82
  4. Step 4: Simplify right side
    22,813.65x = 400,847,569.27
  5. Step 5: Solve for x
    x = 400,847,569.27/22,813.65
  6. Step 6: Final answer
    x = 17,570.51

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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.