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Finding the Fourth Proportional to 17,664.98, 26,481 and 5,970.07

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Solution

The fourth proportional to 17,664.98, 26,481 and 5,970.07 is: 8,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.98 : 26,481 = 5,970.07 : x
  2. Step 2: Convert to fraction form
    17,664.98/26,481 = 5,970.07/x
  3. Step 3: Cross multiply
    17,664.98x = 26,481 × 5,970.07
  4. Step 4: Simplify right side
    17,664.98x = 158,093,291.27
  5. Step 5: Solve for x
    x = 158,093,291.27/17,664.98
  6. Step 6: Final answer
    x = 8,949.53

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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.