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Finding the Fourth Proportional to 19,825.80, 29,729.10 and 11,051.40

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Solution

The fourth proportional to 19,825.80, 29,729.10 and 11,051.40 is: 16,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.80 : 29,729.10 = 11,051.40 : x
  2. Step 2: Convert to fraction form
    19,825.80/29,729.10 = 11,051.40/x
  3. Step 3: Cross multiply
    19,825.80x = 29,729.10 × 11,051.40
  4. Step 4: Simplify right side
    19,825.80x = 328,548,175.74
  5. Step 5: Solve for x
    x = 328,548,175.74/19,825.80
  6. Step 6: Final answer
    x = 16,571.75

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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.