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Finding the Fourth Proportional to 19,136.25, 26,408.16 and 10,752.75

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Solution

The fourth proportional to 19,136.25, 26,408.16 and 10,752.75 is: 14,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.25 : 26,408.16 = 10,752.75 : x
  2. Step 2: Convert to fraction form
    19,136.25/26,408.16 = 10,752.75/x
  3. Step 3: Cross multiply
    19,136.25x = 26,408.16 × 10,752.75
  4. Step 4: Simplify right side
    19,136.25x = 283,960,342.44
  5. Step 5: Solve for x
    x = 283,960,342.44/19,136.25
  6. Step 6: Final answer
    x = 14,838.87

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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.