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Finding the Fourth Proportional to 17,713.26, 24,444 and 9,756.22

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Solution

The fourth proportional to 17,713.26, 24,444 and 9,756.22 is: 13,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.26 : 24,444 = 9,756.22 : x
  2. Step 2: Convert to fraction form
    17,713.26/24,444 = 9,756.22/x
  3. Step 3: Cross multiply
    17,713.26x = 24,444 × 9,756.22
  4. Step 4: Simplify right side
    17,713.26x = 238,481,041.68
  5. Step 5: Solve for x
    x = 238,481,041.68/17,713.26
  6. Step 6: Final answer
    x = 13,463.42

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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.