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Finding the Fourth Proportional to 16,419.65, 22,641.09 and 11,105.24

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Solution

The fourth proportional to 16,419.65, 22,641.09 and 11,105.24 is: 15,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.65 : 22,641.09 = 11,105.24 : x
  2. Step 2: Convert to fraction form
    16,419.65/22,641.09 = 11,105.24/x
  3. Step 3: Cross multiply
    16,419.65x = 22,641.09 × 11,105.24
  4. Step 4: Simplify right side
    16,419.65x = 251,434,738.31
  5. Step 5: Solve for x
    x = 251,434,738.31/16,419.65
  6. Step 6: Final answer
    x = 15,313.04

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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.