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Finding the Fourth Proportional to 16,694.50, 23,038.22 and 9,140.74

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Solution

The fourth proportional to 16,694.50, 23,038.22 and 9,140.74 is: 12,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.50 : 23,038.22 = 9,140.74 : x
  2. Step 2: Convert to fraction form
    16,694.50/23,038.22 = 9,140.74/x
  3. Step 3: Cross multiply
    16,694.50x = 23,038.22 × 9,140.74
  4. Step 4: Simplify right side
    16,694.50x = 210,586,379.08
  5. Step 5: Solve for x
    x = 210,586,379.08/16,694.50
  6. Step 6: Final answer
    x = 12,614.12

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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.