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Finding the Fourth Proportional to 23,796.47, 35,692.67 and 9,752.48

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Solution

The fourth proportional to 23,796.47, 35,692.67 and 9,752.48 is: 14,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.47 : 35,692.67 = 9,752.48 : x
  2. Step 2: Convert to fraction form
    23,796.47/35,692.67 = 9,752.48/x
  3. Step 3: Cross multiply
    23,796.47x = 35,692.67 × 9,752.48
  4. Step 4: Simplify right side
    23,796.47x = 348,091,823.10
  5. Step 5: Solve for x
    x = 348,091,823.10/23,796.47
  6. Step 6: Final answer
    x = 14,627.88

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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.