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Finding the Fourth Proportional to 23,497.89, 35,222.09 and 9,467.88

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Solution

The fourth proportional to 23,497.89, 35,222.09 and 9,467.88 is: 14,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.89 : 35,222.09 = 9,467.88 : x
  2. Step 2: Convert to fraction form
    23,497.89/35,222.09 = 9,467.88/x
  3. Step 3: Cross multiply
    23,497.89x = 35,222.09 × 9,467.88
  4. Step 4: Simplify right side
    23,497.89x = 333,478,474.13
  5. Step 5: Solve for x
    x = 333,478,474.13/23,497.89
  6. Step 6: Final answer
    x = 14,191.85

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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.