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Finding the Fourth Proportional to 17,002, 23,464.96 and 9,550

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Solution

The fourth proportional to 17,002, 23,464.96 and 9,550 is: 13,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 23,464.96 = 9,550 : x
  2. Step 2: Convert to fraction form
    17,002/23,464.96 = 9,550/x
  3. Step 3: Cross multiply
    17,002x = 23,464.96 × 9,550
  4. Step 4: Simplify right side
    17,002x = 224,090,368
  5. Step 5: Solve for x
    x = 224,090,368/17,002
  6. Step 6: Final answer
    x = 13,180.24

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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.