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Finding the Fourth Proportional to 26,297.66, 39,465.94 and 9,668

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Solution

The fourth proportional to 26,297.66, 39,465.94 and 9,668 is: 14,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,297.66 : 39,465.94 = 9,668 : x
  2. Step 2: Convert to fraction form
    26,297.66/39,465.94 = 9,668/x
  3. Step 3: Cross multiply
    26,297.66x = 39,465.94 × 9,668
  4. Step 4: Simplify right side
    26,297.66x = 381,556,707.92
  5. Step 5: Solve for x
    x = 381,556,707.92/26,297.66
  6. Step 6: Final answer
    x = 14,509.15

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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.