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Finding the Fourth Proportional to 19,781.29, 29,671.94 and 8,089.75

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Solution

The fourth proportional to 19,781.29, 29,671.94 and 8,089.75 is: 12,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.29 : 29,671.94 = 8,089.75 : x
  2. Step 2: Convert to fraction form
    19,781.29/29,671.94 = 8,089.75/x
  3. Step 3: Cross multiply
    19,781.29x = 29,671.94 × 8,089.75
  4. Step 4: Simplify right side
    19,781.29x = 240,038,576.62
  5. Step 5: Solve for x
    x = 240,038,576.62/19,781.29
  6. Step 6: Final answer
    x = 12,134.63

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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.