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Finding the Fourth Proportional to 20,809.35, 28,716.94 and 11,378.52

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Solution

The fourth proportional to 20,809.35, 28,716.94 and 11,378.52 is: 15,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.35 : 28,716.94 = 11,378.52 : x
  2. Step 2: Convert to fraction form
    20,809.35/28,716.94 = 11,378.52/x
  3. Step 3: Cross multiply
    20,809.35x = 28,716.94 × 11,378.52
  4. Step 4: Simplify right side
    20,809.35x = 326,756,276.13
  5. Step 5: Solve for x
    x = 326,756,276.13/20,809.35
  6. Step 6: Final answer
    x = 15,702.38

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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.