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Finding the Fourth Proportional to 23,502.92, 35,257.68 and 6,864.17

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Solution

The fourth proportional to 23,502.92, 35,257.68 and 6,864.17 is: 10,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.92 : 35,257.68 = 6,864.17 : x
  2. Step 2: Convert to fraction form
    23,502.92/35,257.68 = 6,864.17/x
  3. Step 3: Cross multiply
    23,502.92x = 35,257.68 × 6,864.17
  4. Step 4: Simplify right side
    23,502.92x = 242,014,731.36
  5. Step 5: Solve for x
    x = 242,014,731.36/23,502.92
  6. Step 6: Final answer
    x = 10,297.22

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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.