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Finding the Fourth Proportional to 12,544.64, 17,311.60 and 6,955.64

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Solution

The fourth proportional to 12,544.64, 17,311.60 and 6,955.64 is: 9,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.64 : 17,311.60 = 6,955.64 : x
  2. Step 2: Convert to fraction form
    12,544.64/17,311.60 = 6,955.64/x
  3. Step 3: Cross multiply
    12,544.64x = 17,311.60 × 6,955.64
  4. Step 4: Simplify right side
    12,544.64x = 120,413,257.42
  5. Step 5: Solve for x
    x = 120,413,257.42/12,544.64
  6. Step 6: Final answer
    x = 9,598.78

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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.