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Finding the Fourth Proportional to 23,810.44, 32,857.12 and 13,738.28

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Solution

The fourth proportional to 23,810.44, 32,857.12 and 13,738.28 is: 18,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.44 : 32,857.12 = 13,738.28 : x
  2. Step 2: Convert to fraction form
    23,810.44/32,857.12 = 13,738.28/x
  3. Step 3: Cross multiply
    23,810.44x = 32,857.12 × 13,738.28
  4. Step 4: Simplify right side
    23,810.44x = 451,400,314.55
  5. Step 5: Solve for x
    x = 451,400,314.55/23,810.44
  6. Step 6: Final answer
    x = 18,958.08

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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.