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Finding the Fourth Proportional to 27,940.84, 38,551.59 and 17,728.14

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Solution

The fourth proportional to 27,940.84, 38,551.59 and 17,728.14 is: 24,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.84 : 38,551.59 = 17,728.14 : x
  2. Step 2: Convert to fraction form
    27,940.84/38,551.59 = 17,728.14/x
  3. Step 3: Cross multiply
    27,940.84x = 38,551.59 × 17,728.14
  4. Step 4: Simplify right side
    27,940.84x = 683,447,984.74
  5. Step 5: Solve for x
    x = 683,447,984.74/27,940.84
  6. Step 6: Final answer
    x = 24,460.54

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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.