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Finding the Fourth Proportional to 17,955.96, 24,777.96 and 11,241.28

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Solution

The fourth proportional to 17,955.96, 24,777.96 and 11,241.28 is: 15,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955.96 : 24,777.96 = 11,241.28 : x
  2. Step 2: Convert to fraction form
    17,955.96/24,777.96 = 11,241.28/x
  3. Step 3: Cross multiply
    17,955.96x = 24,777.96 × 11,241.28
  4. Step 4: Simplify right side
    17,955.96x = 278,535,986.19
  5. Step 5: Solve for x
    x = 278,535,986.19/17,955.96
  6. Step 6: Final answer
    x = 15,512.17

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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.