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Finding the Fourth Proportional to 12,192.96, 16,801.92 and 8,460.48

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Solution

The fourth proportional to 12,192.96, 16,801.92 and 8,460.48 is: 11,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.96 : 16,801.92 = 8,460.48 : x
  2. Step 2: Convert to fraction form
    12,192.96/16,801.92 = 8,460.48/x
  3. Step 3: Cross multiply
    12,192.96x = 16,801.92 × 8,460.48
  4. Step 4: Simplify right side
    12,192.96x = 142,152,308.12
  5. Step 5: Solve for x
    x = 142,152,308.12/12,192.96
  6. Step 6: Final answer
    x = 11,658.56

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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.