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Finding the Fourth Proportional to 19,313.36, 28,974.72 and 5,462

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Solution

The fourth proportional to 19,313.36, 28,974.72 and 5,462 is: 8,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,313.36 : 28,974.72 = 5,462 : x
  2. Step 2: Convert to fraction form
    19,313.36/28,974.72 = 5,462/x
  3. Step 3: Cross multiply
    19,313.36x = 28,974.72 × 5,462
  4. Step 4: Simplify right side
    19,313.36x = 158,259,920.64
  5. Step 5: Solve for x
    x = 158,259,920.64/19,313.36
  6. Step 6: Final answer
    x = 8,194.32

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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.