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Finding the Fourth Proportional to 20,506.54, 28,295.60 and 11,429.92

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Solution

The fourth proportional to 20,506.54, 28,295.60 and 11,429.92 is: 15,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.54 : 28,295.60 = 11,429.92 : x
  2. Step 2: Convert to fraction form
    20,506.54/28,295.60 = 11,429.92/x
  3. Step 3: Cross multiply
    20,506.54x = 28,295.60 × 11,429.92
  4. Step 4: Simplify right side
    20,506.54x = 323,416,444.35
  5. Step 5: Solve for x
    x = 323,416,444.35/20,506.54
  6. Step 6: Final answer
    x = 15,771.38

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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.