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Finding the Fourth Proportional to 12,984.66, 17,910.48 and 8,196.14

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Solution

The fourth proportional to 12,984.66, 17,910.48 and 8,196.14 is: 11,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.66 : 17,910.48 = 8,196.14 : x
  2. Step 2: Convert to fraction form
    12,984.66/17,910.48 = 8,196.14/x
  3. Step 3: Cross multiply
    12,984.66x = 17,910.48 × 8,196.14
  4. Step 4: Simplify right side
    12,984.66x = 146,796,801.55
  5. Step 5: Solve for x
    x = 146,796,801.55/12,984.66
  6. Step 6: Final answer
    x = 11,305.40

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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.