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Finding the Fourth Proportional to 14,434.09, 21,654.93 and 6,114.44

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Solution

The fourth proportional to 14,434.09, 21,654.93 and 6,114.44 is: 9,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.09 : 21,654.93 = 6,114.44 : x
  2. Step 2: Convert to fraction form
    14,434.09/21,654.93 = 6,114.44/x
  3. Step 3: Cross multiply
    14,434.09x = 21,654.93 × 6,114.44
  4. Step 4: Simplify right side
    14,434.09x = 132,407,770.19
  5. Step 5: Solve for x
    x = 132,407,770.19/14,434.09
  6. Step 6: Final answer
    x = 9,173.27

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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.