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Finding the Fourth Proportional to 17,064, 23,552.64 and 9,616.32

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Solution

The fourth proportional to 17,064, 23,552.64 and 9,616.32 is: 13,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,064 : 23,552.64 = 9,616.32 : x
  2. Step 2: Convert to fraction form
    17,064/23,552.64 = 9,616.32/x
  3. Step 3: Cross multiply
    17,064x = 23,552.64 × 9,616.32
  4. Step 4: Simplify right side
    17,064x = 226,489,723.08
  5. Step 5: Solve for x
    x = 226,489,723.08/17,064
  6. Step 6: Final answer
    x = 13,272.96

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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.