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Finding the Fourth Proportional to 17,097, 23,593.90 and 9,645

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Solution

The fourth proportional to 17,097, 23,593.90 and 9,645 is: 13,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097 : 23,593.90 = 9,645 : x
  2. Step 2: Convert to fraction form
    17,097/23,593.90 = 9,645/x
  3. Step 3: Cross multiply
    17,097x = 23,593.90 × 9,645
  4. Step 4: Simplify right side
    17,097x = 227,563,165.50
  5. Step 5: Solve for x
    x = 227,563,165.50/17,097
  6. Step 6: Final answer
    x = 13,310.12

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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.