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Finding the Fourth Proportional to 19,808.09, 29,654.69 and 15,412.22

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Solution

The fourth proportional to 19,808.09, 29,654.69 and 15,412.22 is: 23,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.09 : 29,654.69 = 15,412.22 : x
  2. Step 2: Convert to fraction form
    19,808.09/29,654.69 = 15,412.22/x
  3. Step 3: Cross multiply
    19,808.09x = 29,654.69 × 15,412.22
  4. Step 4: Simplify right side
    19,808.09x = 457,044,380.98
  5. Step 5: Solve for x
    x = 457,044,380.98/19,808.09
  6. Step 6: Final answer
    x = 23,073.63

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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.