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Finding the Fourth Proportional to 12,096.98, 16,699.74 and 9,401.84

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Solution

The fourth proportional to 12,096.98, 16,699.74 and 9,401.84 is: 12,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.98 : 16,699.74 = 9,401.84 : x
  2. Step 2: Convert to fraction form
    12,096.98/16,699.74 = 9,401.84/x
  3. Step 3: Cross multiply
    12,096.98x = 16,699.74 × 9,401.84
  4. Step 4: Simplify right side
    12,096.98x = 157,008,283.52
  5. Step 5: Solve for x
    x = 157,008,283.52/12,096.98
  6. Step 6: Final answer
    x = 12,979.13

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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.