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Finding the Fourth Proportional to 23,796.57, 35,692.10 and 6,267.77

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Solution

The fourth proportional to 23,796.57, 35,692.10 and 6,267.77 is: 9,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.57 : 35,692.10 = 6,267.77 : x
  2. Step 2: Convert to fraction form
    23,796.57/35,692.10 = 6,267.77/x
  3. Step 3: Cross multiply
    23,796.57x = 35,692.10 × 6,267.77
  4. Step 4: Simplify right side
    23,796.57x = 223,709,663.82
  5. Step 5: Solve for x
    x = 223,709,663.82/23,796.57
  6. Step 6: Final answer
    x = 9,400.92

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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.