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Finding the Fourth Proportional to 21,824.92, 32,740.38 and 7,028.92

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Solution

The fourth proportional to 21,824.92, 32,740.38 and 7,028.92 is: 10,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.92 : 32,740.38 = 7,028.92 : x
  2. Step 2: Convert to fraction form
    21,824.92/32,740.38 = 7,028.92/x
  3. Step 3: Cross multiply
    21,824.92x = 32,740.38 × 7,028.92
  4. Step 4: Simplify right side
    21,824.92x = 230,129,511.79
  5. Step 5: Solve for x
    x = 230,129,511.79/21,824.92
  6. Step 6: Final answer
    x = 10,544.35

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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.