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Finding the Fourth Proportional to 19,934.14, 29,860.74 and 9,245.44

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Solution

The fourth proportional to 19,934.14, 29,860.74 and 9,245.44 is: 13,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,934.14 : 29,860.74 = 9,245.44 : x
  2. Step 2: Convert to fraction form
    19,934.14/29,860.74 = 9,245.44/x
  3. Step 3: Cross multiply
    19,934.14x = 29,860.74 × 9,245.44
  4. Step 4: Simplify right side
    19,934.14x = 276,075,680.03
  5. Step 5: Solve for x
    x = 276,075,680.03/19,934.14
  6. Step 6: Final answer
    x = 13,849.39

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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.