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Finding the Fourth Proportional to 22,857.85, 34,286.78 and 9,701.00

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Solution

The fourth proportional to 22,857.85, 34,286.78 and 9,701.00 is: 14,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.85 : 34,286.78 = 9,701.00 : x
  2. Step 2: Convert to fraction form
    22,857.85/34,286.78 = 9,701.00/x
  3. Step 3: Cross multiply
    22,857.85x = 34,286.78 × 9,701.00
  4. Step 4: Simplify right side
    22,857.85x = 332,615,832.84
  5. Step 5: Solve for x
    x = 332,615,832.84/22,857.85
  6. Step 6: Final answer
    x = 14,551.49

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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.