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Finding the Fourth Proportional to 19,462.13, 29,086.56 and 14,208.21

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Solution

The fourth proportional to 19,462.13, 29,086.56 and 14,208.21 is: 21,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.13 : 29,086.56 = 14,208.21 : x
  2. Step 2: Convert to fraction form
    19,462.13/29,086.56 = 14,208.21/x
  3. Step 3: Cross multiply
    19,462.13x = 29,086.56 × 14,208.21
  4. Step 4: Simplify right side
    19,462.13x = 413,267,736.18
  5. Step 5: Solve for x
    x = 413,267,736.18/19,462.13
  6. Step 6: Final answer
    x = 21,234.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.