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Finding the Fourth Proportional to 22,858.56, 34,268.01 and 10,198.80

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Solution

The fourth proportional to 22,858.56, 34,268.01 and 10,198.80 is: 15,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.56 : 34,268.01 = 10,198.80 : x
  2. Step 2: Convert to fraction form
    22,858.56/34,268.01 = 10,198.80/x
  3. Step 3: Cross multiply
    22,858.56x = 34,268.01 × 10,198.80
  4. Step 4: Simplify right side
    22,858.56x = 349,492,580.39
  5. Step 5: Solve for x
    x = 349,492,580.39/22,858.56
  6. Step 6: Final answer
    x = 15,289.35

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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.