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Finding the Fourth Proportional to 22,657.86, 33,991.52 and 11,419.52

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Solution

The fourth proportional to 22,657.86, 33,991.52 and 11,419.52 is: 17,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.86 : 33,991.52 = 11,419.52 : x
  2. Step 2: Convert to fraction form
    22,657.86/33,991.52 = 11,419.52/x
  3. Step 3: Cross multiply
    22,657.86x = 33,991.52 × 11,419.52
  4. Step 4: Simplify right side
    22,657.86x = 388,166,615.42
  5. Step 5: Solve for x
    x = 388,166,615.42/22,657.86
  6. Step 6: Final answer
    x = 17,131.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.