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Finding the Fourth Proportional to 14,781.96, 22,136.88 and 7,767.84

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Solution

The fourth proportional to 14,781.96, 22,136.88 and 7,767.84 is: 11,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.96 : 22,136.88 = 7,767.84 : x
  2. Step 2: Convert to fraction form
    14,781.96/22,136.88 = 7,767.84/x
  3. Step 3: Cross multiply
    14,781.96x = 22,136.88 × 7,767.84
  4. Step 4: Simplify right side
    14,781.96x = 171,955,687.51
  5. Step 5: Solve for x
    x = 171,955,687.51/14,781.96
  6. Step 6: Final answer
    x = 11,632.81

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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.