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Finding the Fourth Proportional to 17,354, 23,952.84 and 9,906.32

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Solution

The fourth proportional to 17,354, 23,952.84 and 9,906.32 is: 13,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,354 : 23,952.84 = 9,906.32 : x
  2. Step 2: Convert to fraction form
    17,354/23,952.84 = 9,906.32/x
  3. Step 3: Cross multiply
    17,354x = 23,952.84 × 9,906.32
  4. Step 4: Simplify right side
    17,354x = 237,284,497.95
  5. Step 5: Solve for x
    x = 237,284,497.95/17,354
  6. Step 6: Final answer
    x = 13,673.19

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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.