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Finding the Fourth Proportional to 13,924.57, 20,891.18 and 4,564.67

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Solution

The fourth proportional to 13,924.57, 20,891.18 and 4,564.67 is: 6,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.57 : 20,891.18 = 4,564.67 : x
  2. Step 2: Convert to fraction form
    13,924.57/20,891.18 = 4,564.67/x
  3. Step 3: Cross multiply
    13,924.57x = 20,891.18 × 4,564.67
  4. Step 4: Simplify right side
    13,924.57x = 95,361,342.61
  5. Step 5: Solve for x
    x = 95,361,342.61/13,924.57
  6. Step 6: Final answer
    x = 6,848.42

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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.