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Finding the Fourth Proportional to 17,349, 23,941.62 and 9,897

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Solution

The fourth proportional to 17,349, 23,941.62 and 9,897 is: 13,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,349 : 23,941.62 = 9,897 : x
  2. Step 2: Convert to fraction form
    17,349/23,941.62 = 9,897/x
  3. Step 3: Cross multiply
    17,349x = 23,941.62 × 9,897
  4. Step 4: Simplify right side
    17,349x = 236,950,213.14
  5. Step 5: Solve for x
    x = 236,950,213.14/17,349
  6. Step 6: Final answer
    x = 13,657.86

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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.