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Finding the Fourth Proportional to 16,697.77, 23,043.20 and 9,143.98

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Solution

The fourth proportional to 16,697.77, 23,043.20 and 9,143.98 is: 12,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.77 : 23,043.20 = 9,143.98 : x
  2. Step 2: Convert to fraction form
    16,697.77/23,043.20 = 9,143.98/x
  3. Step 3: Cross multiply
    16,697.77x = 23,043.20 × 9,143.98
  4. Step 4: Simplify right side
    16,697.77x = 210,706,559.94
  5. Step 5: Solve for x
    x = 210,706,559.94/16,697.77
  6. Step 6: Final answer
    x = 12,618.84

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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.