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Finding the Fourth Proportional to 23,615.34, 35,412.98 and 9,578.44

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Solution

The fourth proportional to 23,615.34, 35,412.98 and 9,578.44 is: 14,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.34 : 35,412.98 = 9,578.44 : x
  2. Step 2: Convert to fraction form
    23,615.34/35,412.98 = 9,578.44/x
  3. Step 3: Cross multiply
    23,615.34x = 35,412.98 × 9,578.44
  4. Step 4: Simplify right side
    23,615.34x = 339,201,104.15
  5. Step 5: Solve for x
    x = 339,201,104.15/23,615.34
  6. Step 6: Final answer
    x = 14,363.59

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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.