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Finding the Fourth Proportional to 12,301.13, 16,974.12 and 6,994.82

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Solution

The fourth proportional to 12,301.13, 16,974.12 and 6,994.82 is: 9,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.13 : 16,974.12 = 6,994.82 : x
  2. Step 2: Convert to fraction form
    12,301.13/16,974.12 = 6,994.82/x
  3. Step 3: Cross multiply
    12,301.13x = 16,974.12 × 6,994.82
  4. Step 4: Simplify right side
    12,301.13x = 118,730,914.06
  5. Step 5: Solve for x
    x = 118,730,914.06/12,301.13
  6. Step 6: Final answer
    x = 9,652.03

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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.