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Finding the Fourth Proportional to 14,037, 19,370.97 and 7,749.36

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Solution

The fourth proportional to 14,037, 19,370.97 and 7,749.36 is: 10,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037 : 19,370.97 = 7,749.36 : x
  2. Step 2: Convert to fraction form
    14,037/19,370.97 = 7,749.36/x
  3. Step 3: Cross multiply
    14,037x = 19,370.97 × 7,749.36
  4. Step 4: Simplify right side
    14,037x = 150,112,620.08
  5. Step 5: Solve for x
    x = 150,112,620.08/14,037
  6. Step 6: Final answer
    x = 10,694.07

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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.