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Finding the Fourth Proportional to 17,722, 26,583 and 7,334.02

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Solution

The fourth proportional to 17,722, 26,583 and 7,334.02 is: 11,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722 : 26,583 = 7,334.02 : x
  2. Step 2: Convert to fraction form
    17,722/26,583 = 7,334.02/x
  3. Step 3: Cross multiply
    17,722x = 26,583 × 7,334.02
  4. Step 4: Simplify right side
    17,722x = 194,960,253.66
  5. Step 5: Solve for x
    x = 194,960,253.66/17,722
  6. Step 6: Final answer
    x = 11,001.03

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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.