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Finding the Fourth Proportional to 19,537.86, 29,308.17 and 7,851.09

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Solution

The fourth proportional to 19,537.86, 29,308.17 and 7,851.09 is: 11,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.86 : 29,308.17 = 7,851.09 : x
  2. Step 2: Convert to fraction form
    19,537.86/29,308.17 = 7,851.09/x
  3. Step 3: Cross multiply
    19,537.86x = 29,308.17 × 7,851.09
  4. Step 4: Simplify right side
    19,537.86x = 230,101,080.41
  5. Step 5: Solve for x
    x = 230,101,080.41/19,537.86
  6. Step 6: Final answer
    x = 11,777.19

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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.