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Finding the Fourth Proportional to 19,537.39, 29,310.14 and 7,851.52

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Solution

The fourth proportional to 19,537.39, 29,310.14 and 7,851.52 is: 11,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.39 : 29,310.14 = 7,851.52 : x
  2. Step 2: Convert to fraction form
    19,537.39/29,310.14 = 7,851.52/x
  3. Step 3: Cross multiply
    19,537.39x = 29,310.14 × 7,851.52
  4. Step 4: Simplify right side
    19,537.39x = 230,129,150.41
  5. Step 5: Solve for x
    x = 230,129,150.41/19,537.39
  6. Step 6: Final answer
    x = 11,778.91

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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.