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Finding the Fourth Proportional to 17,176, 25,767.67 and 5,329.51

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Solution

The fourth proportional to 17,176, 25,767.67 and 5,329.51 is: 7,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176 : 25,767.67 = 5,329.51 : x
  2. Step 2: Convert to fraction form
    17,176/25,767.67 = 5,329.51/x
  3. Step 3: Cross multiply
    17,176x = 25,767.67 × 5,329.51
  4. Step 4: Simplify right side
    17,176x = 137,329,054.94
  5. Step 5: Solve for x
    x = 137,329,054.94/17,176
  6. Step 6: Final answer
    x = 7,995.40

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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.