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Finding the Fourth Proportional to 20,733.76, 28,627.32 and 12,778.48

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Solution

The fourth proportional to 20,733.76, 28,627.32 and 12,778.48 is: 17,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733.76 : 28,627.32 = 12,778.48 : x
  2. Step 2: Convert to fraction form
    20,733.76/28,627.32 = 12,778.48/x
  3. Step 3: Cross multiply
    20,733.76x = 28,627.32 × 12,778.48
  4. Step 4: Simplify right side
    20,733.76x = 365,813,636.07
  5. Step 5: Solve for x
    x = 365,813,636.07/20,733.76
  6. Step 6: Final answer
    x = 17,643.38

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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.