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Finding the Fourth Proportional to 17,806.22, 26,702.04 and 7,938.75

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Solution

The fourth proportional to 17,806.22, 26,702.04 and 7,938.75 is: 11,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.22 : 26,702.04 = 7,938.75 : x
  2. Step 2: Convert to fraction form
    17,806.22/26,702.04 = 7,938.75/x
  3. Step 3: Cross multiply
    17,806.22x = 26,702.04 × 7,938.75
  4. Step 4: Simplify right side
    17,806.22x = 211,980,820.05
  5. Step 5: Solve for x
    x = 211,980,820.05/17,806.22
  6. Step 6: Final answer
    x = 11,904.87

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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.