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Finding the Fourth Proportional to 30,626.84, 42,267.48 and 17,199

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Solution

The fourth proportional to 30,626.84, 42,267.48 and 17,199 is: 23,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.84 : 42,267.48 = 17,199 : x
  2. Step 2: Convert to fraction form
    30,626.84/42,267.48 = 17,199/x
  3. Step 3: Cross multiply
    30,626.84x = 42,267.48 × 17,199
  4. Step 4: Simplify right side
    30,626.84x = 726,958,388.52
  5. Step 5: Solve for x
    x = 726,958,388.52/30,626.84
  6. Step 6: Final answer
    x = 23,735.99

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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.