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Finding the Fourth Proportional to 19,876.94, 29,809.22 and 5,833.47

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Solution

The fourth proportional to 19,876.94, 29,809.22 and 5,833.47 is: 8,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.94 : 29,809.22 = 5,833.47 : x
  2. Step 2: Convert to fraction form
    19,876.94/29,809.22 = 5,833.47/x
  3. Step 3: Cross multiply
    19,876.94x = 29,809.22 × 5,833.47
  4. Step 4: Simplify right side
    19,876.94x = 173,891,161.43
  5. Step 5: Solve for x
    x = 173,891,161.43/19,876.94
  6. Step 6: Final answer
    x = 8,748.39

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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.