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Finding the Fourth Proportional to 12,288.40, 16,958.64 and 6,699.76

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Solution

The fourth proportional to 12,288.40, 16,958.64 and 6,699.76 is: 9,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.40 : 16,958.64 = 6,699.76 : x
  2. Step 2: Convert to fraction form
    12,288.40/16,958.64 = 6,699.76/x
  3. Step 3: Cross multiply
    12,288.40x = 16,958.64 × 6,699.76
  4. Step 4: Simplify right side
    12,288.40x = 113,618,817.93
  5. Step 5: Solve for x
    x = 113,618,817.93/12,288.40
  6. Step 6: Final answer
    x = 9,246.02

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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.