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Finding the Fourth Proportional to 20,716.43, 28,588.98 and 11,285

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Solution

The fourth proportional to 20,716.43, 28,588.98 and 11,285 is: 15,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.43 : 28,588.98 = 11,285 : x
  2. Step 2: Convert to fraction form
    20,716.43/28,588.98 = 11,285/x
  3. Step 3: Cross multiply
    20,716.43x = 28,588.98 × 11,285
  4. Step 4: Simplify right side
    20,716.43x = 322,626,639.30
  5. Step 5: Solve for x
    x = 322,626,639.30/20,716.43
  6. Step 6: Final answer
    x = 15,573.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.