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Finding the Fourth Proportional to 16,181.98, 22,324.71 and 9,898.00

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Solution

The fourth proportional to 16,181.98, 22,324.71 and 9,898.00 is: 13,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.98 : 22,324.71 = 9,898.00 : x
  2. Step 2: Convert to fraction form
    16,181.98/22,324.71 = 9,898.00/x
  3. Step 3: Cross multiply
    16,181.98x = 22,324.71 × 9,898.00
  4. Step 4: Simplify right side
    16,181.98x = 220,969,960.89
  5. Step 5: Solve for x
    x = 220,969,960.89/16,181.98
  6. Step 6: Final answer
    x = 13,655.31

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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.