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Finding the Fourth Proportional to 16,809.89, 23,198.13 and 9,256.41

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Solution

The fourth proportional to 16,809.89, 23,198.13 and 9,256.41 is: 12,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.89 : 23,198.13 = 9,256.41 : x
  2. Step 2: Convert to fraction form
    16,809.89/23,198.13 = 9,256.41/x
  3. Step 3: Cross multiply
    16,809.89x = 23,198.13 × 9,256.41
  4. Step 4: Simplify right side
    16,809.89x = 214,731,402.51
  5. Step 5: Solve for x
    x = 214,731,402.51/16,809.89
  6. Step 6: Final answer
    x = 12,774.11

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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.