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Finding the Fourth Proportional to 17,065.70, 23,550.93 and 9,409.31

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Solution

The fourth proportional to 17,065.70, 23,550.93 and 9,409.31 is: 12,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.70 : 23,550.93 = 9,409.31 : x
  2. Step 2: Convert to fraction form
    17,065.70/23,550.93 = 9,409.31/x
  3. Step 3: Cross multiply
    17,065.70x = 23,550.93 × 9,409.31
  4. Step 4: Simplify right side
    17,065.70x = 221,597,883.40
  5. Step 5: Solve for x
    x = 221,597,883.40/17,065.70
  6. Step 6: Final answer
    x = 12,984.99

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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.