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Finding the Fourth Proportional to 19,481.84, 29,148.76 and 11,854.80

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Solution

The fourth proportional to 19,481.84, 29,148.76 and 11,854.80 is: 17,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481.84 : 29,148.76 = 11,854.80 : x
  2. Step 2: Convert to fraction form
    19,481.84/29,148.76 = 11,854.80/x
  3. Step 3: Cross multiply
    19,481.84x = 29,148.76 × 11,854.80
  4. Step 4: Simplify right side
    19,481.84x = 345,552,720.05
  5. Step 5: Solve for x
    x = 345,552,720.05/19,481.84
  6. Step 6: Final answer
    x = 17,737.17

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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.