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Finding the Fourth Proportional to 11,422.08, 17,064 and 11,357.28

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Solution

The fourth proportional to 11,422.08, 17,064 and 11,357.28 is: 16,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.08 : 17,064 = 11,357.28 : x
  2. Step 2: Convert to fraction form
    11,422.08/17,064 = 11,357.28/x
  3. Step 3: Cross multiply
    11,422.08x = 17,064 × 11,357.28
  4. Step 4: Simplify right side
    11,422.08x = 193,800,625.92
  5. Step 5: Solve for x
    x = 193,800,625.92/11,422.08
  6. Step 6: Final answer
    x = 16,967.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.