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Finding the Fourth Proportional to 12,980.66, 17,904.96 and 8,192.14

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Solution

The fourth proportional to 12,980.66, 17,904.96 and 8,192.14 is: 11,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.66 : 17,904.96 = 8,192.14 : x
  2. Step 2: Convert to fraction form
    12,980.66/17,904.96 = 8,192.14/x
  3. Step 3: Cross multiply
    12,980.66x = 17,904.96 × 8,192.14
  4. Step 4: Simplify right side
    12,980.66x = 146,679,894.25
  5. Step 5: Solve for x
    x = 146,679,894.25/12,980.66
  6. Step 6: Final answer
    x = 11,299.88

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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.