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Finding the Fourth Proportional to 17,623.30, 24,321.24 and 9,666.67

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Solution

The fourth proportional to 17,623.30, 24,321.24 and 9,666.67 is: 13,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.30 : 24,321.24 = 9,666.67 : x
  2. Step 2: Convert to fraction form
    17,623.30/24,321.24 = 9,666.67/x
  3. Step 3: Cross multiply
    17,623.30x = 24,321.24 × 9,666.67
  4. Step 4: Simplify right side
    17,623.30x = 235,105,401.07
  5. Step 5: Solve for x
    x = 235,105,401.07/17,623.30
  6. Step 6: Final answer
    x = 13,340.60

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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.