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Finding the Fourth Proportional to 14,042.83, 21,067.14 and 5,722.84

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Solution

The fourth proportional to 14,042.83, 21,067.14 and 5,722.84 is: 8,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.83 : 21,067.14 = 5,722.84 : x
  2. Step 2: Convert to fraction form
    14,042.83/21,067.14 = 5,722.84/x
  3. Step 3: Cross multiply
    14,042.83x = 21,067.14 × 5,722.84
  4. Step 4: Simplify right side
    14,042.83x = 120,563,871.48
  5. Step 5: Solve for x
    x = 120,563,871.48/14,042.83
  6. Step 6: Final answer
    x = 8,585.44

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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.