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Finding the Fourth Proportional to 27,460.50, 37,884.66 and 17,911.50

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Solution

The fourth proportional to 27,460.50, 37,884.66 and 17,911.50 is: 24,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.50 : 37,884.66 = 17,911.50 : x
  2. Step 2: Convert to fraction form
    27,460.50/37,884.66 = 17,911.50/x
  3. Step 3: Cross multiply
    27,460.50x = 37,884.66 × 17,911.50
  4. Step 4: Simplify right side
    27,460.50x = 678,571,087.59
  5. Step 5: Solve for x
    x = 678,571,087.59/27,460.50
  6. Step 6: Final answer
    x = 24,710.81

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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.