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Finding the Fourth Proportional to 12,185.52, 16,815.78 and 7,993.50

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Solution

The fourth proportional to 12,185.52, 16,815.78 and 7,993.50 is: 11,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.52 : 16,815.78 = 7,993.50 : x
  2. Step 2: Convert to fraction form
    12,185.52/16,815.78 = 7,993.50/x
  3. Step 3: Cross multiply
    12,185.52x = 16,815.78 × 7,993.50
  4. Step 4: Simplify right side
    12,185.52x = 134,416,937.43
  5. Step 5: Solve for x
    x = 134,416,937.43/12,185.52
  6. Step 6: Final answer
    x = 11,030.87

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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.