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Finding the Fourth Proportional to 30,617.09, 42,254.03 and 17,189.23

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Solution

The fourth proportional to 30,617.09, 42,254.03 and 17,189.23 is: 23,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.09 : 42,254.03 = 17,189.23 : x
  2. Step 2: Convert to fraction form
    30,617.09/42,254.03 = 17,189.23/x
  3. Step 3: Cross multiply
    30,617.09x = 42,254.03 × 17,189.23
  4. Step 4: Simplify right side
    30,617.09x = 726,313,942.88
  5. Step 5: Solve for x
    x = 726,313,942.88/30,617.09
  6. Step 6: Final answer
    x = 23,722.50

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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.