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Finding the Fourth Proportional to 17,283.39, 23,853.41 and 9,731.22

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Solution

The fourth proportional to 17,283.39, 23,853.41 and 9,731.22 is: 13,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.39 : 23,853.41 = 9,731.22 : x
  2. Step 2: Convert to fraction form
    17,283.39/23,853.41 = 9,731.22/x
  3. Step 3: Cross multiply
    17,283.39x = 23,853.41 × 9,731.22
  4. Step 4: Simplify right side
    17,283.39x = 232,122,731.80
  5. Step 5: Solve for x
    x = 232,122,731.80/17,283.39
  6. Step 6: Final answer
    x = 13,430.39

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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.