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Finding the Fourth Proportional to 22,782.51, 34,171.92 and 10,136.19

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Solution

The fourth proportional to 22,782.51, 34,171.92 and 10,136.19 is: 15,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.51 : 34,171.92 = 10,136.19 : x
  2. Step 2: Convert to fraction form
    22,782.51/34,171.92 = 10,136.19/x
  3. Step 3: Cross multiply
    22,782.51x = 34,171.92 × 10,136.19
  4. Step 4: Simplify right side
    22,782.51x = 346,373,073.78
  5. Step 5: Solve for x
    x = 346,373,073.78/22,782.51
  6. Step 6: Final answer
    x = 15,203.46

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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.