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Finding the Fourth Proportional to 17,553.85, 24,223.04 and 9,594.38

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Solution

The fourth proportional to 17,553.85, 24,223.04 and 9,594.38 is: 13,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,553.85 : 24,223.04 = 9,594.38 : x
  2. Step 2: Convert to fraction form
    17,553.85/24,223.04 = 9,594.38/x
  3. Step 3: Cross multiply
    17,553.85x = 24,223.04 × 9,594.38
  4. Step 4: Simplify right side
    17,553.85x = 232,405,050.52
  5. Step 5: Solve for x
    x = 232,405,050.52/17,553.85
  6. Step 6: Final answer
    x = 13,239.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.