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Finding the Fourth Proportional to 23,747.46, 35,620.48 and 9,703.50

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Solution

The fourth proportional to 23,747.46, 35,620.48 and 9,703.50 is: 14,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,747.46 : 35,620.48 = 9,703.50 : x
  2. Step 2: Convert to fraction form
    23,747.46/35,620.48 = 9,703.50/x
  3. Step 3: Cross multiply
    23,747.46x = 35,620.48 × 9,703.50
  4. Step 4: Simplify right side
    23,747.46x = 345,643,327.68
  5. Step 5: Solve for x
    x = 345,643,327.68/23,747.46
  6. Step 6: Final answer
    x = 14,554.96

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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.