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Finding the Fourth Proportional to 17,723, 26,584.50 and 7,335.02

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Solution

The fourth proportional to 17,723, 26,584.50 and 7,335.02 is: 11,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723 : 26,584.50 = 7,335.02 : x
  2. Step 2: Convert to fraction form
    17,723/26,584.50 = 7,335.02/x
  3. Step 3: Cross multiply
    17,723x = 26,584.50 × 7,335.02
  4. Step 4: Simplify right side
    17,723x = 194,997,839.19
  5. Step 5: Solve for x
    x = 194,997,839.19/17,723
  6. Step 6: Final answer
    x = 11,002.53

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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.