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Finding the Fourth Proportional to 13,814.08, 20,724 and 4,454.80

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Solution

The fourth proportional to 13,814.08, 20,724 and 4,454.80 is: 6,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.08 : 20,724 = 4,454.80 : x
  2. Step 2: Convert to fraction form
    13,814.08/20,724 = 4,454.80/x
  3. Step 3: Cross multiply
    13,814.08x = 20,724 × 4,454.80
  4. Step 4: Simplify right side
    13,814.08x = 92,321,275.20
  5. Step 5: Solve for x
    x = 92,321,275.20/13,814.08
  6. Step 6: Final answer
    x = 6,683.13

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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.