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Finding the Fourth Proportional to 14,709.09, 20,296.26 and 8,420.25

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Solution

The fourth proportional to 14,709.09, 20,296.26 and 8,420.25 is: 11,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.09 : 20,296.26 = 8,420.25 : x
  2. Step 2: Convert to fraction form
    14,709.09/20,296.26 = 8,420.25/x
  3. Step 3: Cross multiply
    14,709.09x = 20,296.26 × 8,420.25
  4. Step 4: Simplify right side
    14,709.09x = 170,899,583.27
  5. Step 5: Solve for x
    x = 170,899,583.27/14,709.09
  6. Step 6: Final answer
    x = 11,618.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.