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Finding the Fourth Proportional to 19,710.27, 29,573.37 and 14,471.91

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Solution

The fourth proportional to 19,710.27, 29,573.37 and 14,471.91 is: 21,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.27 : 29,573.37 = 14,471.91 : x
  2. Step 2: Convert to fraction form
    19,710.27/29,573.37 = 14,471.91/x
  3. Step 3: Cross multiply
    19,710.27x = 29,573.37 × 14,471.91
  4. Step 4: Simplify right side
    19,710.27x = 427,983,149.04
  5. Step 5: Solve for x
    x = 427,983,149.04/19,710.27
  6. Step 6: Final answer
    x = 21,713.71

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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.