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Finding the Fourth Proportional to 14,037, 19,370.82 and 7,749.24

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Solution

The fourth proportional to 14,037, 19,370.82 and 7,749.24 is: 10,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037 : 19,370.82 = 7,749.24 : x
  2. Step 2: Convert to fraction form
    14,037/19,370.82 = 7,749.24/x
  3. Step 3: Cross multiply
    14,037x = 19,370.82 × 7,749.24
  4. Step 4: Simplify right side
    14,037x = 150,109,133.18
  5. Step 5: Solve for x
    x = 150,109,133.18/14,037
  6. Step 6: Final answer
    x = 10,693.82

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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.