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Finding the Fourth Proportional to 23,227.40, 32,054.16 and 12,617.24

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Solution

The fourth proportional to 23,227.40, 32,054.16 and 12,617.24 is: 17,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.40 : 32,054.16 = 12,617.24 : x
  2. Step 2: Convert to fraction form
    23,227.40/32,054.16 = 12,617.24/x
  3. Step 3: Cross multiply
    23,227.40x = 32,054.16 × 12,617.24
  4. Step 4: Simplify right side
    23,227.40x = 404,435,029.72
  5. Step 5: Solve for x
    x = 404,435,029.72/23,227.40
  6. Step 6: Final answer
    x = 17,411.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.