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Finding the Fourth Proportional to 17,369, 23,969.24 and 9,411.28

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Solution

The fourth proportional to 17,369, 23,969.24 and 9,411.28 is: 12,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,369 : 23,969.24 = 9,411.28 : x
  2. Step 2: Convert to fraction form
    17,369/23,969.24 = 9,411.28/x
  3. Step 3: Cross multiply
    17,369x = 23,969.24 × 9,411.28
  4. Step 4: Simplify right side
    17,369x = 225,581,229.03
  5. Step 5: Solve for x
    x = 225,581,229.03/17,369
  6. Step 6: Final answer
    x = 12,987.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.