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Finding the Fourth Proportional to 12,544.56, 17,289.36 and 11,096.16

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Solution

The fourth proportional to 12,544.56, 17,289.36 and 11,096.16 is: 15,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.56 : 17,289.36 = 11,096.16 : x
  2. Step 2: Convert to fraction form
    12,544.56/17,289.36 = 11,096.16/x
  3. Step 3: Cross multiply
    12,544.56x = 17,289.36 × 11,096.16
  4. Step 4: Simplify right side
    12,544.56x = 191,845,504.86
  5. Step 5: Solve for x
    x = 191,845,504.86/12,544.56
  6. Step 6: Final answer
    x = 15,293.12

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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.