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Finding the Fourth Proportional to 27,955.02, 41,939.82 and 10,425

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Solution

The fourth proportional to 27,955.02, 41,939.82 and 10,425 is: 15,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.02 : 41,939.82 = 10,425 : x
  2. Step 2: Convert to fraction form
    27,955.02/41,939.82 = 10,425/x
  3. Step 3: Cross multiply
    27,955.02x = 41,939.82 × 10,425
  4. Step 4: Simplify right side
    27,955.02x = 437,222,623.50
  5. Step 5: Solve for x
    x = 437,222,623.50/27,955.02
  6. Step 6: Final answer
    x = 15,640.22

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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.