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Finding the Fourth Proportional to 13,823.14, 20,734.71 and 4,589.14

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Solution

The fourth proportional to 13,823.14, 20,734.71 and 4,589.14 is: 6,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.14 : 20,734.71 = 4,589.14 : x
  2. Step 2: Convert to fraction form
    13,823.14/20,734.71 = 4,589.14/x
  3. Step 3: Cross multiply
    13,823.14x = 20,734.71 × 4,589.14
  4. Step 4: Simplify right side
    13,823.14x = 95,154,518.70
  5. Step 5: Solve for x
    x = 95,154,518.70/13,823.14
  6. Step 6: Final answer
    x = 6,883.71

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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.