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Finding the Fourth Proportional to 23,523.33, 35,270.64 and 9,998.57

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Solution

The fourth proportional to 23,523.33, 35,270.64 and 9,998.57 is: 14,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.33 : 35,270.64 = 9,998.57 : x
  2. Step 2: Convert to fraction form
    23,523.33/35,270.64 = 9,998.57/x
  3. Step 3: Cross multiply
    23,523.33x = 35,270.64 × 9,998.57
  4. Step 4: Simplify right side
    23,523.33x = 352,655,962.98
  5. Step 5: Solve for x
    x = 352,655,962.98/23,523.33
  6. Step 6: Final answer
    x = 14,991.75

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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.