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Finding the Fourth Proportional to 13,778.76, 19,021.22 and 8,813.64

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Solution

The fourth proportional to 13,778.76, 19,021.22 and 8,813.64 is: 12,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.76 : 19,021.22 = 8,813.64 : x
  2. Step 2: Convert to fraction form
    13,778.76/19,021.22 = 8,813.64/x
  3. Step 3: Cross multiply
    13,778.76x = 19,021.22 × 8,813.64
  4. Step 4: Simplify right side
    13,778.76x = 167,646,185.44
  5. Step 5: Solve for x
    x = 167,646,185.44/13,778.76
  6. Step 6: Final answer
    x = 12,167.00

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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.