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Finding the Fourth Proportional to 17,106, 25,640.32 and 10,868.80

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Solution

The fourth proportional to 17,106, 25,640.32 and 10,868.80 is: 16,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106 : 25,640.32 = 10,868.80 : x
  2. Step 2: Convert to fraction form
    17,106/25,640.32 = 10,868.80/x
  3. Step 3: Cross multiply
    17,106x = 25,640.32 × 10,868.80
  4. Step 4: Simplify right side
    17,106x = 278,679,510.02
  5. Step 5: Solve for x
    x = 278,679,510.02/17,106
  6. Step 6: Final answer
    x = 16,291.33

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