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Finding the Fourth Proportional to 14,419.28, 21,629 and 6,097.20

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Solution

The fourth proportional to 14,419.28, 21,629 and 6,097.20 is: 9,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.28 : 21,629 = 6,097.20 : x
  2. Step 2: Convert to fraction form
    14,419.28/21,629 = 6,097.20/x
  3. Step 3: Cross multiply
    14,419.28x = 21,629 × 6,097.20
  4. Step 4: Simplify right side
    14,419.28x = 131,876,338.80
  5. Step 5: Solve for x
    x = 131,876,338.80/14,419.28
  6. Step 6: Final answer
    x = 9,145.83

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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.