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Finding the Fourth Proportional to 22,567.38, 33,851.07 and 7,780.53

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Solution

The fourth proportional to 22,567.38, 33,851.07 and 7,780.53 is: 11,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.38 : 33,851.07 = 7,780.53 : x
  2. Step 2: Convert to fraction form
    22,567.38/33,851.07 = 7,780.53/x
  3. Step 3: Cross multiply
    22,567.38x = 33,851.07 × 7,780.53
  4. Step 4: Simplify right side
    22,567.38x = 263,379,265.67
  5. Step 5: Solve for x
    x = 263,379,265.67/22,567.38
  6. Step 6: Final answer
    x = 11,670.80

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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.