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Finding the Fourth Proportional to 12,892.43, 17,790.21 and 7,586.93

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Solution

The fourth proportional to 12,892.43, 17,790.21 and 7,586.93 is: 10,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.43 : 17,790.21 = 7,586.93 : x
  2. Step 2: Convert to fraction form
    12,892.43/17,790.21 = 7,586.93/x
  3. Step 3: Cross multiply
    12,892.43x = 17,790.21 × 7,586.93
  4. Step 4: Simplify right side
    12,892.43x = 134,972,989.00
  5. Step 5: Solve for x
    x = 134,972,989.00/12,892.43
  6. Step 6: Final answer
    x = 10,469.17

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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.