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Finding the Fourth Proportional to 17,323.40, 23,903.16 and 10,249.40

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Solution

The fourth proportional to 17,323.40, 23,903.16 and 10,249.40 is: 14,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.40 : 23,903.16 = 10,249.40 : x
  2. Step 2: Convert to fraction form
    17,323.40/23,903.16 = 10,249.40/x
  3. Step 3: Cross multiply
    17,323.40x = 23,903.16 × 10,249.40
  4. Step 4: Simplify right side
    17,323.40x = 244,993,048.10
  5. Step 5: Solve for x
    x = 244,993,048.10/17,323.40
  6. Step 6: Final answer
    x = 14,142.32

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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.