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Finding the Fourth Proportional to 17,743.50, 24,486.03 and 10,291.50

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Solution

The fourth proportional to 17,743.50, 24,486.03 and 10,291.50 is: 14,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.50 : 24,486.03 = 10,291.50 : x
  2. Step 2: Convert to fraction form
    17,743.50/24,486.03 = 10,291.50/x
  3. Step 3: Cross multiply
    17,743.50x = 24,486.03 × 10,291.50
  4. Step 4: Simplify right side
    17,743.50x = 251,997,977.75
  5. Step 5: Solve for x
    x = 251,997,977.75/17,743.50
  6. Step 6: Final answer
    x = 14,202.27

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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.