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Finding the Fourth Proportional to 27,784.49, 38,331.77 and 17,711.19

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Solution

The fourth proportional to 27,784.49, 38,331.77 and 17,711.19 is: 24,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.49 : 38,331.77 = 17,711.19 : x
  2. Step 2: Convert to fraction form
    27,784.49/38,331.77 = 17,711.19/x
  3. Step 3: Cross multiply
    27,784.49x = 38,331.77 × 17,711.19
  4. Step 4: Simplify right side
    27,784.49x = 678,901,172.95
  5. Step 5: Solve for x
    x = 678,901,172.95/27,784.49
  6. Step 6: Final answer
    x = 24,434.54

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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.