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Finding the Fourth Proportional to 17,706.84, 26,554.07 and 5,223.56

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Solution

The fourth proportional to 17,706.84, 26,554.07 and 5,223.56 is: 7,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.84 : 26,554.07 = 5,223.56 : x
  2. Step 2: Convert to fraction form
    17,706.84/26,554.07 = 5,223.56/x
  3. Step 3: Cross multiply
    17,706.84x = 26,554.07 × 5,223.56
  4. Step 4: Simplify right side
    17,706.84x = 138,706,645.12
  5. Step 5: Solve for x
    x = 138,706,645.12/17,706.84
  6. Step 6: Final answer
    x = 7,833.51

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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.