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Finding the Fourth Proportional to 19,811.97, 29,686.37 and 14,522.49

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Solution

The fourth proportional to 19,811.97, 29,686.37 and 14,522.49 is: 21,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.97 : 29,686.37 = 14,522.49 : x
  2. Step 2: Convert to fraction form
    19,811.97/29,686.37 = 14,522.49/x
  3. Step 3: Cross multiply
    19,811.97x = 29,686.37 × 14,522.49
  4. Step 4: Simplify right side
    19,811.97x = 431,119,938.85
  5. Step 5: Solve for x
    x = 431,119,938.85/19,811.97
  6. Step 6: Final answer
    x = 21,760.58

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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.