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Finding the Fourth Proportional to 17,806.18, 26,707.22 and 4,659.82

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Solution

The fourth proportional to 17,806.18, 26,707.22 and 4,659.82 is: 6,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.18 : 26,707.22 = 4,659.82 : x
  2. Step 2: Convert to fraction form
    17,806.18/26,707.22 = 4,659.82/x
  3. Step 3: Cross multiply
    17,806.18x = 26,707.22 × 4,659.82
  4. Step 4: Simplify right side
    17,806.18x = 124,450,837.90
  5. Step 5: Solve for x
    x = 124,450,837.90/17,806.18
  6. Step 6: Final answer
    x = 6,989.19

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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.