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Finding the Fourth Proportional to 30,616.40, 42,245.28 and 17,188.22

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Solution

The fourth proportional to 30,616.40, 42,245.28 and 17,188.22 is: 23,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.40 : 42,245.28 = 17,188.22 : x
  2. Step 2: Convert to fraction form
    30,616.40/42,245.28 = 17,188.22/x
  3. Step 3: Cross multiply
    30,616.40x = 42,245.28 × 17,188.22
  4. Step 4: Simplify right side
    30,616.40x = 726,121,272.21
  5. Step 5: Solve for x
    x = 726,121,272.21/30,616.40
  6. Step 6: Final answer
    x = 23,716.74

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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.