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Finding the Fourth Proportional to 27,696.47, 41,540.03 and 7,970.45

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Solution

The fourth proportional to 27,696.47, 41,540.03 and 7,970.45 is: 11,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.47 : 41,540.03 = 7,970.45 : x
  2. Step 2: Convert to fraction form
    27,696.47/41,540.03 = 7,970.45/x
  3. Step 3: Cross multiply
    27,696.47x = 41,540.03 × 7,970.45
  4. Step 4: Simplify right side
    27,696.47x = 331,092,484.56
  5. Step 5: Solve for x
    x = 331,092,484.56/27,696.47
  6. Step 6: Final answer
    x = 11,954.32

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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.