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Finding the Fourth Proportional to 22,575.42, 33,860.70 and 6,778.80

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Solution

The fourth proportional to 22,575.42, 33,860.70 and 6,778.80 is: 10,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.42 : 33,860.70 = 6,778.80 : x
  2. Step 2: Convert to fraction form
    22,575.42/33,860.70 = 6,778.80/x
  3. Step 3: Cross multiply
    22,575.42x = 33,860.70 × 6,778.80
  4. Step 4: Simplify right side
    22,575.42x = 229,534,913.16
  5. Step 5: Solve for x
    x = 229,534,913.16/22,575.42
  6. Step 6: Final answer
    x = 10,167.47

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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.