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Finding the Fourth Proportional to 25,778.08, 38,672 and 9,136.24

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Solution

The fourth proportional to 25,778.08, 38,672 and 9,136.24 is: 13,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.08 : 38,672 = 9,136.24 : x
  2. Step 2: Convert to fraction form
    25,778.08/38,672 = 9,136.24/x
  3. Step 3: Cross multiply
    25,778.08x = 38,672 × 9,136.24
  4. Step 4: Simplify right side
    25,778.08x = 353,316,673.28
  5. Step 5: Solve for x
    x = 353,316,673.28/25,778.08
  6. Step 6: Final answer
    x = 13,706.09

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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.