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Finding the Fourth Proportional to 17,661.25, 24,372.80 and 9,703.63

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Solution

The fourth proportional to 17,661.25, 24,372.80 and 9,703.63 is: 13,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.25 : 24,372.80 = 9,703.63 : x
  2. Step 2: Convert to fraction form
    17,661.25/24,372.80 = 9,703.63/x
  3. Step 3: Cross multiply
    17,661.25x = 24,372.80 × 9,703.63
  4. Step 4: Simplify right side
    17,661.25x = 236,504,633.26
  5. Step 5: Solve for x
    x = 236,504,633.26/17,661.25
  6. Step 6: Final answer
    x = 13,391.16

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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.