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Finding the Fourth Proportional to 17,071, 23,558.34 and 9,619

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Solution

The fourth proportional to 17,071, 23,558.34 and 9,619 is: 13,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071 : 23,558.34 = 9,619 : x
  2. Step 2: Convert to fraction form
    17,071/23,558.34 = 9,619/x
  3. Step 3: Cross multiply
    17,071x = 23,558.34 × 9,619
  4. Step 4: Simplify right side
    17,071x = 226,607,672.46
  5. Step 5: Solve for x
    x = 226,607,672.46/17,071
  6. Step 6: Final answer
    x = 13,274.42

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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.