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Finding the Fourth Proportional to 19,782.80, 29,677.11 and 5,741

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Solution

The fourth proportional to 19,782.80, 29,677.11 and 5,741 is: 8,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.80 : 29,677.11 = 5,741 : x
  2. Step 2: Convert to fraction form
    19,782.80/29,677.11 = 5,741/x
  3. Step 3: Cross multiply
    19,782.80x = 29,677.11 × 5,741
  4. Step 4: Simplify right side
    19,782.80x = 170,376,288.51
  5. Step 5: Solve for x
    x = 170,376,288.51/19,782.80
  6. Step 6: Final answer
    x = 8,612.34

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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.