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Finding the Fourth Proportional to 12,396.56, 17,078.71 and 8,564.53

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Solution

The fourth proportional to 12,396.56, 17,078.71 and 8,564.53 is: 11,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.56 : 17,078.71 = 8,564.53 : x
  2. Step 2: Convert to fraction form
    12,396.56/17,078.71 = 8,564.53/x
  3. Step 3: Cross multiply
    12,396.56x = 17,078.71 × 8,564.53
  4. Step 4: Simplify right side
    12,396.56x = 146,271,060.05
  5. Step 5: Solve for x
    x = 146,271,060.05/12,396.56
  6. Step 6: Final answer
    x = 11,799.32

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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.