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Finding the Fourth Proportional to 12,288.90, 16,958.76 and 7,184.73

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Solution

The fourth proportional to 12,288.90, 16,958.76 and 7,184.73 is: 9,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.90 : 16,958.76 = 7,184.73 : x
  2. Step 2: Convert to fraction form
    12,288.90/16,958.76 = 7,184.73/x
  3. Step 3: Cross multiply
    12,288.90x = 16,958.76 × 7,184.73
  4. Step 4: Simplify right side
    12,288.90x = 121,844,111.73
  5. Step 5: Solve for x
    x = 121,844,111.73/12,288.90
  6. Step 6: Final answer
    x = 9,914.97

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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.