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Finding the Fourth Proportional to 17,810.93, 24,578.35 and 9,744.55

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Solution

The fourth proportional to 17,810.93, 24,578.35 and 9,744.55 is: 13,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.93 : 24,578.35 = 9,744.55 : x
  2. Step 2: Convert to fraction form
    17,810.93/24,578.35 = 9,744.55/x
  3. Step 3: Cross multiply
    17,810.93x = 24,578.35 × 9,744.55
  4. Step 4: Simplify right side
    17,810.93x = 239,504,788.88
  5. Step 5: Solve for x
    x = 239,504,788.88/17,810.93
  6. Step 6: Final answer
    x = 13,447.07

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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.