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Finding the Fourth Proportional to 27,346.54, 37,738.40 and 16,022.74

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Solution

The fourth proportional to 27,346.54, 37,738.40 and 16,022.74 is: 22,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.54 : 37,738.40 = 16,022.74 : x
  2. Step 2: Convert to fraction form
    27,346.54/37,738.40 = 16,022.74/x
  3. Step 3: Cross multiply
    27,346.54x = 37,738.40 × 16,022.74
  4. Step 4: Simplify right side
    27,346.54x = 604,672,571.22
  5. Step 5: Solve for x
    x = 604,672,571.22/27,346.54
  6. Step 6: Final answer
    x = 22,111.48

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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.