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Finding the Fourth Proportional to 17,176, 25,751.76 and 7,811.32

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Solution

The fourth proportional to 17,176, 25,751.76 and 7,811.32 is: 11,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176 : 25,751.76 = 7,811.32 : x
  2. Step 2: Convert to fraction form
    17,176/25,751.76 = 7,811.32/x
  3. Step 3: Cross multiply
    17,176x = 25,751.76 × 7,811.32
  4. Step 4: Simplify right side
    17,176x = 201,155,237.92
  5. Step 5: Solve for x
    x = 201,155,237.92/17,176
  6. Step 6: Final answer
    x = 11,711.41

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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.