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Finding the Fourth Proportional to 17,071.72, 23,560.38 and 9,416.49

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Solution

The fourth proportional to 17,071.72, 23,560.38 and 9,416.49 is: 12,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.72 : 23,560.38 = 9,416.49 : x
  2. Step 2: Convert to fraction form
    17,071.72/23,560.38 = 9,416.49/x
  3. Step 3: Cross multiply
    17,071.72x = 23,560.38 × 9,416.49
  4. Step 4: Simplify right side
    17,071.72x = 221,856,082.67
  5. Step 5: Solve for x
    x = 221,856,082.67/17,071.72
  6. Step 6: Final answer
    x = 12,995.53

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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.