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Finding the Fourth Proportional to 23,502.80, 35,257.49 and 6,864.05

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Solution

The fourth proportional to 23,502.80, 35,257.49 and 6,864.05 is: 10,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.80 : 35,257.49 = 6,864.05 : x
  2. Step 2: Convert to fraction form
    23,502.80/35,257.49 = 6,864.05/x
  3. Step 3: Cross multiply
    23,502.80x = 35,257.49 × 6,864.05
  4. Step 4: Simplify right side
    23,502.80x = 242,009,174.23
  5. Step 5: Solve for x
    x = 242,009,174.23/23,502.80
  6. Step 6: Final answer
    x = 10,297.04

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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.