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Finding the Fourth Proportional to 22,717.75, 34,077.84 and 7,136.59

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Solution

The fourth proportional to 22,717.75, 34,077.84 and 7,136.59 is: 10,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717.75 : 34,077.84 = 7,136.59 : x
  2. Step 2: Convert to fraction form
    22,717.75/34,077.84 = 7,136.59/x
  3. Step 3: Cross multiply
    22,717.75x = 34,077.84 × 7,136.59
  4. Step 4: Simplify right side
    22,717.75x = 243,199,572.17
  5. Step 5: Solve for x
    x = 243,199,572.17/22,717.75
  6. Step 6: Final answer
    x = 10,705.27

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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.