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Finding the Fourth Proportional to 22,993.42, 34,422.09 and 14,200.06

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Solution

The fourth proportional to 22,993.42, 34,422.09 and 14,200.06 is: 21,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.42 : 34,422.09 = 14,200.06 : x
  2. Step 2: Convert to fraction form
    22,993.42/34,422.09 = 14,200.06/x
  3. Step 3: Cross multiply
    22,993.42x = 34,422.09 × 14,200.06
  4. Step 4: Simplify right side
    22,993.42x = 488,795,743.33
  5. Step 5: Solve for x
    x = 488,795,743.33/22,993.42
  6. Step 6: Final answer
    x = 21,258.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.