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Finding the Fourth Proportional to 16,169.80, 22,309.94 and 9,457.08

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Solution

The fourth proportional to 16,169.80, 22,309.94 and 9,457.08 is: 13,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.80 : 22,309.94 = 9,457.08 : x
  2. Step 2: Convert to fraction form
    16,169.80/22,309.94 = 9,457.08/x
  3. Step 3: Cross multiply
    16,169.80x = 22,309.94 × 9,457.08
  4. Step 4: Simplify right side
    16,169.80x = 210,986,887.38
  5. Step 5: Solve for x
    x = 210,986,887.38/16,169.80
  6. Step 6: Final answer
    x = 13,048.21

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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.