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Finding the Fourth Proportional to 12,544.36, 17,313.42 and 8,564.02

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Solution

The fourth proportional to 12,544.36, 17,313.42 and 8,564.02 is: 11,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.36 : 17,313.42 = 8,564.02 : x
  2. Step 2: Convert to fraction form
    12,544.36/17,313.42 = 8,564.02/x
  3. Step 3: Cross multiply
    12,544.36x = 17,313.42 × 8,564.02
  4. Step 4: Simplify right side
    12,544.36x = 148,272,475.15
  5. Step 5: Solve for x
    x = 148,272,475.15/12,544.36
  6. Step 6: Final answer
    x = 11,819.85

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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.