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Finding the Fourth Proportional to 13,784.46, 20,683.52 and 5,464.29

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Solution

The fourth proportional to 13,784.46, 20,683.52 and 5,464.29 is: 8,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.46 : 20,683.52 = 5,464.29 : x
  2. Step 2: Convert to fraction form
    13,784.46/20,683.52 = 5,464.29/x
  3. Step 3: Cross multiply
    13,784.46x = 20,683.52 × 5,464.29
  4. Step 4: Simplify right side
    13,784.46x = 113,020,751.50
  5. Step 5: Solve for x
    x = 113,020,751.50/13,784.46
  6. Step 6: Final answer
    x = 8,199.14

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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.