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Finding the Fourth Proportional to 18,142.56, 27,210.60 and 11,549.16

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Solution

The fourth proportional to 18,142.56, 27,210.60 and 11,549.16 is: 17,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.56 : 27,210.60 = 11,549.16 : x
  2. Step 2: Convert to fraction form
    18,142.56/27,210.60 = 11,549.16/x
  3. Step 3: Cross multiply
    18,142.56x = 27,210.60 × 11,549.16
  4. Step 4: Simplify right side
    18,142.56x = 314,259,573.10
  5. Step 5: Solve for x
    x = 314,259,573.10/18,142.56
  6. Step 6: Final answer
    x = 17,321.68

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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.