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Finding the Fourth Proportional to 20,785.92, 28,684.38 and 11,354.52

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Solution

The fourth proportional to 20,785.92, 28,684.38 and 11,354.52 is: 15,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.92 : 28,684.38 = 11,354.52 : x
  2. Step 2: Convert to fraction form
    20,785.92/28,684.38 = 11,354.52/x
  3. Step 3: Cross multiply
    20,785.92x = 28,684.38 × 11,354.52
  4. Step 4: Simplify right side
    20,785.92x = 325,697,366.40
  5. Step 5: Solve for x
    x = 325,697,366.40/20,785.92
  6. Step 6: Final answer
    x = 15,669.13

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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.