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Finding the Fourth Proportional to 25,660, 38,491.48 and 7,193.44

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Solution

The fourth proportional to 25,660, 38,491.48 and 7,193.44 is: 10,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660 : 38,491.48 = 7,193.44 : x
  2. Step 2: Convert to fraction form
    25,660/38,491.48 = 7,193.44/x
  3. Step 3: Cross multiply
    25,660x = 38,491.48 × 7,193.44
  4. Step 4: Simplify right side
    25,660x = 276,886,151.89
  5. Step 5: Solve for x
    x = 276,886,151.89/25,660
  6. Step 6: Final answer
    x = 10,790.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.