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Finding the Fourth Proportional to 16,914.26, 25,351.76 and 9,106.68

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Solution

The fourth proportional to 16,914.26, 25,351.76 and 9,106.68 is: 13,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.26 : 25,351.76 = 9,106.68 : x
  2. Step 2: Convert to fraction form
    16,914.26/25,351.76 = 9,106.68/x
  3. Step 3: Cross multiply
    16,914.26x = 25,351.76 × 9,106.68
  4. Step 4: Simplify right side
    16,914.26x = 230,870,365.76
  5. Step 5: Solve for x
    x = 230,870,365.76/16,914.26
  6. Step 6: Final answer
    x = 13,649.45

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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.