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Finding the Fourth Proportional to 17,262.24, 23,821.44 and 9,810.24

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Solution

The fourth proportional to 17,262.24, 23,821.44 and 9,810.24 is: 13,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,262.24 : 23,821.44 = 9,810.24 : x
  2. Step 2: Convert to fraction form
    17,262.24/23,821.44 = 9,810.24/x
  3. Step 3: Cross multiply
    17,262.24x = 23,821.44 × 9,810.24
  4. Step 4: Simplify right side
    17,262.24x = 233,694,043.55
  5. Step 5: Solve for x
    x = 233,694,043.55/17,262.24
  6. Step 6: Final answer
    x = 13,537.87

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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.