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Finding the Fourth Proportional to 14,164.80, 21,214.80 and 13,840.80

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Solution

The fourth proportional to 14,164.80, 21,214.80 and 13,840.80 is: 20,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.80 : 21,214.80 = 13,840.80 : x
  2. Step 2: Convert to fraction form
    14,164.80/21,214.80 = 13,840.80/x
  3. Step 3: Cross multiply
    14,164.80x = 21,214.80 × 13,840.80
  4. Step 4: Simplify right side
    14,164.80x = 293,629,803.84
  5. Step 5: Solve for x
    x = 293,629,803.84/14,164.80
  6. Step 6: Final answer
    x = 20,729.54

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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.