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Finding the Fourth Proportional to 13,794.80, 19,035.96 and 8,204.72

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Solution

The fourth proportional to 13,794.80, 19,035.96 and 8,204.72 is: 11,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.80 : 19,035.96 = 8,204.72 : x
  2. Step 2: Convert to fraction form
    13,794.80/19,035.96 = 8,204.72/x
  3. Step 3: Cross multiply
    13,794.80x = 19,035.96 × 8,204.72
  4. Step 4: Simplify right side
    13,794.80x = 156,184,721.73
  5. Step 5: Solve for x
    x = 156,184,721.73/13,794.80
  6. Step 6: Final answer
    x = 11,322.00

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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.