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Finding the Fourth Proportional to 17,262.64, 23,823.17 and 9,709.30

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Solution

The fourth proportional to 17,262.64, 23,823.17 and 9,709.30 is: 13,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,262.64 : 23,823.17 = 9,709.30 : x
  2. Step 2: Convert to fraction form
    17,262.64/23,823.17 = 9,709.30/x
  3. Step 3: Cross multiply
    17,262.64x = 23,823.17 × 9,709.30
  4. Step 4: Simplify right side
    17,262.64x = 231,306,304.48
  5. Step 5: Solve for x
    x = 231,306,304.48/17,262.64
  6. Step 6: Final answer
    x = 13,399.24

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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.