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Finding the Fourth Proportional to 17,860.38, 24,645.99 and 9,792.75

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Solution

The fourth proportional to 17,860.38, 24,645.99 and 9,792.75 is: 13,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.38 : 24,645.99 = 9,792.75 : x
  2. Step 2: Convert to fraction form
    17,860.38/24,645.99 = 9,792.75/x
  3. Step 3: Cross multiply
    17,860.38x = 24,645.99 × 9,792.75
  4. Step 4: Simplify right side
    17,860.38x = 241,352,018.57
  5. Step 5: Solve for x
    x = 241,352,018.57/17,860.38
  6. Step 6: Final answer
    x = 13,513.26

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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.