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Finding the Fourth Proportional to 17,343.40, 23,933.38 and 9,790

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Solution

The fourth proportional to 17,343.40, 23,933.38 and 9,790 is: 13,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343.40 : 23,933.38 = 9,790 : x
  2. Step 2: Convert to fraction form
    17,343.40/23,933.38 = 9,790/x
  3. Step 3: Cross multiply
    17,343.40x = 23,933.38 × 9,790
  4. Step 4: Simplify right side
    17,343.40x = 234,307,790.20
  5. Step 5: Solve for x
    x = 234,307,790.20/17,343.40
  6. Step 6: Final answer
    x = 13,509.91

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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.