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Finding the Fourth Proportional to 17,224.31, 23,769.56 and 9,772.31

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Solution

The fourth proportional to 17,224.31, 23,769.56 and 9,772.31 is: 13,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.31 : 23,769.56 = 9,772.31 : x
  2. Step 2: Convert to fraction form
    17,224.31/23,769.56 = 9,772.31/x
  3. Step 3: Cross multiply
    17,224.31x = 23,769.56 × 9,772.31
  4. Step 4: Simplify right side
    17,224.31x = 232,283,592.74
  5. Step 5: Solve for x
    x = 232,283,592.74/17,224.31
  6. Step 6: Final answer
    x = 13,485.80

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1.5x scale

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.