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Finding the Fourth Proportional to 17,022.88, 23,491.65 and 9,947.80

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Solution

The fourth proportional to 17,022.88, 23,491.65 and 9,947.80 is: 13,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.88 : 23,491.65 = 9,947.80 : x
  2. Step 2: Convert to fraction form
    17,022.88/23,491.65 = 9,947.80/x
  3. Step 3: Cross multiply
    17,022.88x = 23,491.65 × 9,947.80
  4. Step 4: Simplify right side
    17,022.88x = 233,690,235.87
  5. Step 5: Solve for x
    x = 233,690,235.87/17,022.88
  6. Step 6: Final answer
    x = 13,728.01

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1.5x scale

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.