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Finding the Fourth Proportional to 12,906.72, 17,798.40 and 8,193.60

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Solution

The fourth proportional to 12,906.72, 17,798.40 and 8,193.60 is: 11,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.72 : 17,798.40 = 8,193.60 : x
  2. Step 2: Convert to fraction form
    12,906.72/17,798.40 = 8,193.60/x
  3. Step 3: Cross multiply
    12,906.72x = 17,798.40 × 8,193.60
  4. Step 4: Simplify right side
    12,906.72x = 145,832,970.24
  5. Step 5: Solve for x
    x = 145,832,970.24/12,906.72
  6. Step 6: Final answer
    x = 11,299.00

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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.