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Finding the Fourth Proportional to 14,042.57, 21,058 and 5,716.96

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Solution

The fourth proportional to 14,042.57, 21,058 and 5,716.96 is: 8,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.57 : 21,058 = 5,716.96 : x
  2. Step 2: Convert to fraction form
    14,042.57/21,058 = 5,716.96/x
  3. Step 3: Cross multiply
    14,042.57x = 21,058 × 5,716.96
  4. Step 4: Simplify right side
    14,042.57x = 120,387,743.68
  5. Step 5: Solve for x
    x = 120,387,743.68/14,042.57
  6. Step 6: Final answer
    x = 8,573.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.