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Finding the Fourth Proportional to 17,883.40, 24,703.14 and 13,743.40

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Solution

The fourth proportional to 17,883.40, 24,703.14 and 13,743.40 is: 18,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.40 : 24,703.14 = 13,743.40 : x
  2. Step 2: Convert to fraction form
    17,883.40/24,703.14 = 13,743.40/x
  3. Step 3: Cross multiply
    17,883.40x = 24,703.14 × 13,743.40
  4. Step 4: Simplify right side
    17,883.40x = 339,505,134.28
  5. Step 5: Solve for x
    x = 339,505,134.28/17,883.40
  6. Step 6: Final answer
    x = 18,984.37

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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.