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Finding the Fourth Proportional to 13,784.50, 20,677.16 and 3,396.25

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Solution

The fourth proportional to 13,784.50, 20,677.16 and 3,396.25 is: 5,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.50 : 20,677.16 = 3,396.25 : x
  2. Step 2: Convert to fraction form
    13,784.50/20,677.16 = 3,396.25/x
  3. Step 3: Cross multiply
    13,784.50x = 20,677.16 × 3,396.25
  4. Step 4: Simplify right side
    13,784.50x = 70,224,804.65
  5. Step 5: Solve for x
    x = 70,224,804.65/13,784.50
  6. Step 6: Final answer
    x = 5,094.48

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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.