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Finding the Fourth Proportional to 16,811.85, 23,216.09 and 10,535.16

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Solution

The fourth proportional to 16,811.85, 23,216.09 and 10,535.16 is: 14,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.85 : 23,216.09 = 10,535.16 : x
  2. Step 2: Convert to fraction form
    16,811.85/23,216.09 = 10,535.16/x
  3. Step 3: Cross multiply
    16,811.85x = 23,216.09 × 10,535.16
  4. Step 4: Simplify right side
    16,811.85x = 244,585,132.98
  5. Step 5: Solve for x
    x = 244,585,132.98/16,811.85
  6. Step 6: Final answer
    x = 14,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.