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Finding the Fourth Proportional to 12,014.91, 16,556.95 and 9,185.48

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Solution

The fourth proportional to 12,014.91, 16,556.95 and 9,185.48 is: 12,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.91 : 16,556.95 = 9,185.48 : x
  2. Step 2: Convert to fraction form
    12,014.91/16,556.95 = 9,185.48/x
  3. Step 3: Cross multiply
    12,014.91x = 16,556.95 × 9,185.48
  4. Step 4: Simplify right side
    12,014.91x = 152,083,523.87
  5. Step 5: Solve for x
    x = 152,083,523.87/12,014.91
  6. Step 6: Final answer
    x = 12,657.90

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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.