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Finding the Fourth Proportional to 23,856.57, 35,782.43 and 6,328.17

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Solution

The fourth proportional to 23,856.57, 35,782.43 and 6,328.17 is: 9,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.57 : 35,782.43 = 6,328.17 : x
  2. Step 2: Convert to fraction form
    23,856.57/35,782.43 = 6,328.17/x
  3. Step 3: Cross multiply
    23,856.57x = 35,782.43 × 6,328.17
  4. Step 4: Simplify right side
    23,856.57x = 226,437,268.41
  5. Step 5: Solve for x
    x = 226,437,268.41/23,856.57
  6. Step 6: Final answer
    x = 9,491.61

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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.