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Finding the Fourth Proportional to 13,766.57, 19,003.68 and 9,296.39

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Solution

The fourth proportional to 13,766.57, 19,003.68 and 9,296.39 is: 12,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.57 : 19,003.68 = 9,296.39 : x
  2. Step 2: Convert to fraction form
    13,766.57/19,003.68 = 9,296.39/x
  3. Step 3: Cross multiply
    13,766.57x = 19,003.68 × 9,296.39
  4. Step 4: Simplify right side
    13,766.57x = 176,665,525.70
  5. Step 5: Solve for x
    x = 176,665,525.70/13,766.57
  6. Step 6: Final answer
    x = 12,832.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.