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Finding the Fourth Proportional to 13,035.90, 19,550.83 and 7,772.39

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Solution

The fourth proportional to 13,035.90, 19,550.83 and 7,772.39 is: 11,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.90 : 19,550.83 = 7,772.39 : x
  2. Step 2: Convert to fraction form
    13,035.90/19,550.83 = 7,772.39/x
  3. Step 3: Cross multiply
    13,035.90x = 19,550.83 × 7,772.39
  4. Step 4: Simplify right side
    13,035.90x = 151,956,675.58
  5. Step 5: Solve for x
    x = 151,956,675.58/13,035.90
  6. Step 6: Final answer
    x = 11,656.78

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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.