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Finding the Fourth Proportional to 17,321.40, 23,900.88 and 9,767.40

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Solution

The fourth proportional to 17,321.40, 23,900.88 and 9,767.40 is: 13,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.40 : 23,900.88 = 9,767.40 : x
  2. Step 2: Convert to fraction form
    17,321.40/23,900.88 = 9,767.40/x
  3. Step 3: Cross multiply
    17,321.40x = 23,900.88 × 9,767.40
  4. Step 4: Simplify right side
    17,321.40x = 233,449,455.31
  5. Step 5: Solve for x
    x = 233,449,455.31/17,321.40
  6. Step 6: Final answer
    x = 13,477.52

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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.