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Finding the Fourth Proportional to 23,497.78, 35,248.30 and 6,857.96

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Solution

The fourth proportional to 23,497.78, 35,248.30 and 6,857.96 is: 10,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.78 : 35,248.30 = 6,857.96 : x
  2. Step 2: Convert to fraction form
    23,497.78/35,248.30 = 6,857.96/x
  3. Step 3: Cross multiply
    23,497.78x = 35,248.30 × 6,857.96
  4. Step 4: Simplify right side
    23,497.78x = 241,731,431.47
  5. Step 5: Solve for x
    x = 241,731,431.47/23,497.78
  6. Step 6: Final answer
    x = 10,287.42

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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.