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Finding the Fourth Proportional to 27,016.77, 37,294.53 and 16,409.82

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Solution

The fourth proportional to 27,016.77, 37,294.53 and 16,409.82 is: 22,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.77 : 37,294.53 = 16,409.82 : x
  2. Step 2: Convert to fraction form
    27,016.77/37,294.53 = 16,409.82/x
  3. Step 3: Cross multiply
    27,016.77x = 37,294.53 × 16,409.82
  4. Step 4: Simplify right side
    27,016.77x = 611,996,524.28
  5. Step 5: Solve for x
    x = 611,996,524.28/27,016.77
  6. Step 6: Final answer
    x = 22,652.47

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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.