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Finding the Fourth Proportional to 23,692.15, 35,538.06 and 9,648.88

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Solution

The fourth proportional to 23,692.15, 35,538.06 and 9,648.88 is: 14,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.15 : 35,538.06 = 9,648.88 : x
  2. Step 2: Convert to fraction form
    23,692.15/35,538.06 = 9,648.88/x
  3. Step 3: Cross multiply
    23,692.15x = 35,538.06 × 9,648.88
  4. Step 4: Simplify right side
    23,692.15x = 342,902,476.37
  5. Step 5: Solve for x
    x = 342,902,476.37/23,692.15
  6. Step 6: Final answer
    x = 14,473.25

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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.