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Finding the Fourth Proportional to 19,474.56, 29,220.48 and 14,472

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Solution

The fourth proportional to 19,474.56, 29,220.48 and 14,472 is: 21,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.56 : 29,220.48 = 14,472 : x
  2. Step 2: Convert to fraction form
    19,474.56/29,220.48 = 14,472/x
  3. Step 3: Cross multiply
    19,474.56x = 29,220.48 × 14,472
  4. Step 4: Simplify right side
    19,474.56x = 422,878,786.56
  5. Step 5: Solve for x
    x = 422,878,786.56/19,474.56
  6. Step 6: Final answer
    x = 21,714.42

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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.