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Finding the Fourth Proportional to 17,409.88, 26,091.78 and 8,156.44

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Solution

The fourth proportional to 17,409.88, 26,091.78 and 8,156.44 is: 12,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.88 : 26,091.78 = 8,156.44 : x
  2. Step 2: Convert to fraction form
    17,409.88/26,091.78 = 8,156.44/x
  3. Step 3: Cross multiply
    17,409.88x = 26,091.78 × 8,156.44
  4. Step 4: Simplify right side
    17,409.88x = 212,816,038.06
  5. Step 5: Solve for x
    x = 212,816,038.06/17,409.88
  6. Step 6: Final answer
    x = 12,223.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.