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Finding the Fourth Proportional to 27,446.24, 37,866.12 and 16,832

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Solution

The fourth proportional to 27,446.24, 37,866.12 and 16,832 is: 23,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.24 : 37,866.12 = 16,832 : x
  2. Step 2: Convert to fraction form
    27,446.24/37,866.12 = 16,832/x
  3. Step 3: Cross multiply
    27,446.24x = 37,866.12 × 16,832
  4. Step 4: Simplify right side
    27,446.24x = 637,362,531.84
  5. Step 5: Solve for x
    x = 637,362,531.84/27,446.24
  6. Step 6: Final answer
    x = 23,222.22

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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.