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Finding the Fourth Proportional to 22,840.32, 31,512.96 and 13,409.28

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Solution

The fourth proportional to 22,840.32, 31,512.96 and 13,409.28 is: 18,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.32 : 31,512.96 = 13,409.28 : x
  2. Step 2: Convert to fraction form
    22,840.32/31,512.96 = 13,409.28/x
  3. Step 3: Cross multiply
    22,840.32x = 31,512.96 × 13,409.28
  4. Step 4: Simplify right side
    22,840.32x = 422,566,104.27
  5. Step 5: Solve for x
    x = 422,566,104.27/22,840.32
  6. Step 6: Final answer
    x = 18,500.88

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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.