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Finding the Fourth Proportional to 25,855.24, 38,783.70 and 7,136.68

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Solution

The fourth proportional to 25,855.24, 38,783.70 and 7,136.68 is: 10,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855.24 : 38,783.70 = 7,136.68 : x
  2. Step 2: Convert to fraction form
    25,855.24/38,783.70 = 7,136.68/x
  3. Step 3: Cross multiply
    25,855.24x = 38,783.70 × 7,136.68
  4. Step 4: Simplify right side
    25,855.24x = 276,786,856.12
  5. Step 5: Solve for x
    x = 276,786,856.12/25,855.24
  6. Step 6: Final answer
    x = 10,705.25

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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.