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Finding the Fourth Proportional to 22,857.70, 34,286.55 and 14,064.10

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Solution

The fourth proportional to 22,857.70, 34,286.55 and 14,064.10 is: 21,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.70 : 34,286.55 = 14,064.10 : x
  2. Step 2: Convert to fraction form
    22,857.70/34,286.55 = 14,064.10/x
  3. Step 3: Cross multiply
    22,857.70x = 34,286.55 × 14,064.10
  4. Step 4: Simplify right side
    22,857.70x = 482,209,467.86
  5. Step 5: Solve for x
    x = 482,209,467.86/22,857.70
  6. Step 6: Final answer
    x = 21,096.15

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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.