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Finding the Fourth Proportional to 25,786.50, 38,683.44 and 9,781.92

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Solution

The fourth proportional to 25,786.50, 38,683.44 and 9,781.92 is: 14,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786.50 : 38,683.44 = 9,781.92 : x
  2. Step 2: Convert to fraction form
    25,786.50/38,683.44 = 9,781.92/x
  3. Step 3: Cross multiply
    25,786.50x = 38,683.44 × 9,781.92
  4. Step 4: Simplify right side
    25,786.50x = 378,398,315.40
  5. Step 5: Solve for x
    x = 378,398,315.40/25,786.50
  6. Step 6: Final answer
    x = 14,674.28

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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.