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Finding the Fourth Proportional to 14,188.34, 21,282.78 and 3,800

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Solution

The fourth proportional to 14,188.34, 21,282.78 and 3,800 is: 5,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.34 : 21,282.78 = 3,800 : x
  2. Step 2: Convert to fraction form
    14,188.34/21,282.78 = 3,800/x
  3. Step 3: Cross multiply
    14,188.34x = 21,282.78 × 3,800
  4. Step 4: Simplify right side
    14,188.34x = 80,874,564
  5. Step 5: Solve for x
    x = 80,874,564/14,188.34
  6. Step 6: Final answer
    x = 5,700.07

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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.