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Finding the Fourth Proportional to 23,502.27, 35,252.94 and 5,733

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Solution

The fourth proportional to 23,502.27, 35,252.94 and 5,733 is: 8,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.27 : 35,252.94 = 5,733 : x
  2. Step 2: Convert to fraction form
    23,502.27/35,252.94 = 5,733/x
  3. Step 3: Cross multiply
    23,502.27x = 35,252.94 × 5,733
  4. Step 4: Simplify right side
    23,502.27x = 202,105,105.02
  5. Step 5: Solve for x
    x = 202,105,105.02/23,502.27
  6. Step 6: Final answer
    x = 8,599.39

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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.