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Finding the Fourth Proportional to 14,171.34, 21,257.28 and 3,783

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Solution

The fourth proportional to 14,171.34, 21,257.28 and 3,783 is: 5,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.34 : 21,257.28 = 3,783 : x
  2. Step 2: Convert to fraction form
    14,171.34/21,257.28 = 3,783/x
  3. Step 3: Cross multiply
    14,171.34x = 21,257.28 × 3,783
  4. Step 4: Simplify right side
    14,171.34x = 80,416,290.24
  5. Step 5: Solve for x
    x = 80,416,290.24/14,171.34
  6. Step 6: Final answer
    x = 5,674.57

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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.