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Finding the Fourth Proportional to 17,723.97, 26,569.54 and 9,927.31

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Solution

The fourth proportional to 17,723.97, 26,569.54 and 9,927.31 is: 14,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.97 : 26,569.54 = 9,927.31 : x
  2. Step 2: Convert to fraction form
    17,723.97/26,569.54 = 9,927.31/x
  3. Step 3: Cross multiply
    17,723.97x = 26,569.54 × 9,927.31
  4. Step 4: Simplify right side
    17,723.97x = 263,764,060.14
  5. Step 5: Solve for x
    x = 263,764,060.14/17,723.97
  6. Step 6: Final answer
    x = 14,881.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.