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Finding the Fourth Proportional to 17,717.84, 24,449.52 and 9,759.62

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Solution

The fourth proportional to 17,717.84, 24,449.52 and 9,759.62 is: 13,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.84 : 24,449.52 = 9,759.62 : x
  2. Step 2: Convert to fraction form
    17,717.84/24,449.52 = 9,759.62/x
  3. Step 3: Cross multiply
    17,717.84x = 24,449.52 × 9,759.62
  4. Step 4: Simplify right side
    17,717.84x = 238,618,024.38
  5. Step 5: Solve for x
    x = 238,618,024.38/17,717.84
  6. Step 6: Final answer
    x = 13,467.67

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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.