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Finding the Fourth Proportional to 17,043.38, 23,513.77 and 9,869.38

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Solution

The fourth proportional to 17,043.38, 23,513.77 and 9,869.38 is: 13,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,043.38 : 23,513.77 = 9,869.38 : x
  2. Step 2: Convert to fraction form
    17,043.38/23,513.77 = 9,869.38/x
  3. Step 3: Cross multiply
    17,043.38x = 23,513.77 × 9,869.38
  4. Step 4: Simplify right side
    17,043.38x = 232,066,331.36
  5. Step 5: Solve for x
    x = 232,066,331.36/17,043.38
  6. Step 6: Final answer
    x = 13,616.22

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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.