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Finding the Fourth Proportional to 12,371.23, 17,074.16 and 9,738.46

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Solution

The fourth proportional to 12,371.23, 17,074.16 and 9,738.46 is: 13,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.23 : 17,074.16 = 9,738.46 : x
  2. Step 2: Convert to fraction form
    12,371.23/17,074.16 = 9,738.46/x
  3. Step 3: Cross multiply
    12,371.23x = 17,074.16 × 9,738.46
  4. Step 4: Simplify right side
    12,371.23x = 166,276,024.19
  5. Step 5: Solve for x
    x = 166,276,024.19/12,371.23
  6. Step 6: Final answer
    x = 13,440.54

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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.