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Finding the Fourth Proportional to 27,996.40, 41,957.32 and 10,448.56

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Solution

The fourth proportional to 27,996.40, 41,957.32 and 10,448.56 is: 15,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.40 : 41,957.32 = 10,448.56 : x
  2. Step 2: Convert to fraction form
    27,996.40/41,957.32 = 10,448.56/x
  3. Step 3: Cross multiply
    27,996.40x = 41,957.32 × 10,448.56
  4. Step 4: Simplify right side
    27,996.40x = 438,393,575.46
  5. Step 5: Solve for x
    x = 438,393,575.46/27,996.40
  6. Step 6: Final answer
    x = 15,658.93

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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.