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Finding the Fourth Proportional to 17,624.40, 26,465.40 and 11,806.80

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Solution

The fourth proportional to 17,624.40, 26,465.40 and 11,806.80 is: 17,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.40 : 26,465.40 = 11,806.80 : x
  2. Step 2: Convert to fraction form
    17,624.40/26,465.40 = 11,806.80/x
  3. Step 3: Cross multiply
    17,624.40x = 26,465.40 × 11,806.80
  4. Step 4: Simplify right side
    17,624.40x = 312,471,684.72
  5. Step 5: Solve for x
    x = 312,471,684.72/17,624.40
  6. Step 6: Final answer
    x = 17,729.49

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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.