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Finding the Fourth Proportional to 12,597.28, 17,388.32 and 11,268.64

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Solution

The fourth proportional to 12,597.28, 17,388.32 and 11,268.64 is: 15,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.28 : 17,388.32 = 11,268.64 : x
  2. Step 2: Convert to fraction form
    12,597.28/17,388.32 = 11,268.64/x
  3. Step 3: Cross multiply
    12,597.28x = 17,388.32 × 11,268.64
  4. Step 4: Simplify right side
    12,597.28x = 195,942,718.28
  5. Step 5: Solve for x
    x = 195,942,718.28/12,597.28
  6. Step 6: Final answer
    x = 15,554.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.