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Finding the Fourth Proportional to 20,823.68, 28,735.68 and 11,391.68

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Solution

The fourth proportional to 20,823.68, 28,735.68 and 11,391.68 is: 15,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.68 : 28,735.68 = 11,391.68 : x
  2. Step 2: Convert to fraction form
    20,823.68/28,735.68 = 11,391.68/x
  3. Step 3: Cross multiply
    20,823.68x = 28,735.68 × 11,391.68
  4. Step 4: Simplify right side
    20,823.68x = 327,347,671.14
  5. Step 5: Solve for x
    x = 327,347,671.14/20,823.68
  6. Step 6: Final answer
    x = 15,719.97

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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.