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Finding the Fourth Proportional to 17,193.40, 23,726.94 and 9,741.40

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Solution

The fourth proportional to 17,193.40, 23,726.94 and 9,741.40 is: 13,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.40 : 23,726.94 = 9,741.40 : x
  2. Step 2: Convert to fraction form
    17,193.40/23,726.94 = 9,741.40/x
  3. Step 3: Cross multiply
    17,193.40x = 23,726.94 × 9,741.40
  4. Step 4: Simplify right side
    17,193.40x = 231,133,613.32
  5. Step 5: Solve for x
    x = 231,133,613.32/17,193.40
  6. Step 6: Final answer
    x = 13,443.16

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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.