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Finding the Fourth Proportional to 18,515.32, 27,738.08 and 9,144.36

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Solution

The fourth proportional to 18,515.32, 27,738.08 and 9,144.36 is: 13,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,515.32 : 27,738.08 = 9,144.36 : x
  2. Step 2: Convert to fraction form
    18,515.32/27,738.08 = 9,144.36/x
  3. Step 3: Cross multiply
    18,515.32x = 27,738.08 × 9,144.36
  4. Step 4: Simplify right side
    18,515.32x = 253,646,989.23
  5. Step 5: Solve for x
    x = 253,646,989.23/18,515.32
  6. Step 6: Final answer
    x = 13,699.30

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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.