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Finding the Fourth Proportional to 13,907.90, 20,861.66 and 3,378

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Solution

The fourth proportional to 13,907.90, 20,861.66 and 3,378 is: 5,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.90 : 20,861.66 = 3,378 : x
  2. Step 2: Convert to fraction form
    13,907.90/20,861.66 = 3,378/x
  3. Step 3: Cross multiply
    13,907.90x = 20,861.66 × 3,378
  4. Step 4: Simplify right side
    13,907.90x = 70,470,695.93
  5. Step 5: Solve for x
    x = 70,470,695.93/13,907.90
  6. Step 6: Final answer
    x = 5,066.95

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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.