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Finding the Fourth Proportional to 19,774.69, 29,629.19 and 13,919.00

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Solution

The fourth proportional to 19,774.69, 29,629.19 and 13,919.00 is: 20,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.69 : 29,629.19 = 13,919.00 : x
  2. Step 2: Convert to fraction form
    19,774.69/29,629.19 = 13,919.00/x
  3. Step 3: Cross multiply
    19,774.69x = 29,629.19 × 13,919.00
  4. Step 4: Simplify right side
    19,774.69x = 412,408,582.26
  5. Step 5: Solve for x
    x = 412,408,582.26/19,774.69
  6. Step 6: Final answer
    x = 20,855.38

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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.