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Finding the Fourth Proportional to 15,975.09, 23,936.22 and 9,716.04

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Solution

The fourth proportional to 15,975.09, 23,936.22 and 9,716.04 is: 14,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.09 : 23,936.22 = 9,716.04 : x
  2. Step 2: Convert to fraction form
    15,975.09/23,936.22 = 9,716.04/x
  3. Step 3: Cross multiply
    15,975.09x = 23,936.22 × 9,716.04
  4. Step 4: Simplify right side
    15,975.09x = 232,565,270.97
  5. Step 5: Solve for x
    x = 232,565,270.97/15,975.09
  6. Step 6: Final answer
    x = 14,557.99

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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.