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Finding the Fourth Proportional to 16,821.52, 23,201.73 and 11,072.00

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Solution

The fourth proportional to 16,821.52, 23,201.73 and 11,072.00 is: 15,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.52 : 23,201.73 = 11,072.00 : x
  2. Step 2: Convert to fraction form
    16,821.52/23,201.73 = 11,072.00/x
  3. Step 3: Cross multiply
    16,821.52x = 23,201.73 × 11,072.00
  4. Step 4: Simplify right side
    16,821.52x = 256,889,612.56
  5. Step 5: Solve for x
    x = 256,889,612.56/16,821.52
  6. Step 6: Final answer
    x = 15,271.49

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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.