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Finding the Fourth Proportional to 17,704.80, 26,551 and 5,221.51

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Solution

The fourth proportional to 17,704.80, 26,551 and 5,221.51 is: 7,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.80 : 26,551 = 5,221.51 : x
  2. Step 2: Convert to fraction form
    17,704.80/26,551 = 5,221.51/x
  3. Step 3: Cross multiply
    17,704.80x = 26,551 × 5,221.51
  4. Step 4: Simplify right side
    17,704.80x = 138,636,312.01
  5. Step 5: Solve for x
    x = 138,636,312.01/17,704.80
  6. Step 6: Final answer
    x = 7,830.44

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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.