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Finding the Fourth Proportional to 16,809.98, 23,198.33 and 9,256.87

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Solution

The fourth proportional to 16,809.98, 23,198.33 and 9,256.87 is: 12,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.98 : 23,198.33 = 9,256.87 : x
  2. Step 2: Convert to fraction form
    16,809.98/23,198.33 = 9,256.87/x
  3. Step 3: Cross multiply
    16,809.98x = 23,198.33 × 9,256.87
  4. Step 4: Simplify right side
    16,809.98x = 214,743,925.03
  5. Step 5: Solve for x
    x = 214,743,925.03/16,809.98
  6. Step 6: Final answer
    x = 12,774.79

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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.