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Finding the Fourth Proportional to 16,865.23, 23,274.05 and 9,311.57

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Solution

The fourth proportional to 16,865.23, 23,274.05 and 9,311.57 is: 12,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.23 : 23,274.05 = 9,311.57 : x
  2. Step 2: Convert to fraction form
    16,865.23/23,274.05 = 9,311.57/x
  3. Step 3: Cross multiply
    16,865.23x = 23,274.05 × 9,311.57
  4. Step 4: Simplify right side
    16,865.23x = 216,717,899.20
  5. Step 5: Solve for x
    x = 216,717,899.20/16,865.23
  6. Step 6: Final answer
    x = 12,849.99

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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.