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Finding the Fourth Proportional to 16,694.24, 23,038.06 and 9,141.06

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Solution

The fourth proportional to 16,694.24, 23,038.06 and 9,141.06 is: 12,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694.24 : 23,038.06 = 9,141.06 : x
  2. Step 2: Convert to fraction form
    16,694.24/23,038.06 = 9,141.06/x
  3. Step 3: Cross multiply
    16,694.24x = 23,038.06 × 9,141.06
  4. Step 4: Simplify right side
    16,694.24x = 210,592,288.74
  5. Step 5: Solve for x
    x = 210,592,288.74/16,694.24
  6. Step 6: Final answer
    x = 12,614.67

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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.