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Finding the Fourth Proportional to 23,502.08, 35,249.65 and 6,857.64

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Solution

The fourth proportional to 23,502.08, 35,249.65 and 6,857.64 is: 10,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.08 : 35,249.65 = 6,857.64 : x
  2. Step 2: Convert to fraction form
    23,502.08/35,249.65 = 6,857.64/x
  3. Step 3: Cross multiply
    23,502.08x = 35,249.65 × 6,857.64
  4. Step 4: Simplify right side
    23,502.08x = 241,729,409.83
  5. Step 5: Solve for x
    x = 241,729,409.83/23,502.08
  6. Step 6: Final answer
    x = 10,285.45

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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.