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Finding the Fourth Proportional to 20,825.60, 28,735.96 and 11,873.12

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Solution

The fourth proportional to 20,825.60, 28,735.96 and 11,873.12 is: 16,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.60 : 28,735.96 = 11,873.12 : x
  2. Step 2: Convert to fraction form
    20,825.60/28,735.96 = 11,873.12/x
  3. Step 3: Cross multiply
    20,825.60x = 28,735.96 × 11,873.12
  4. Step 4: Simplify right side
    20,825.60x = 341,185,501.40
  5. Step 5: Solve for x
    x = 341,185,501.40/20,825.60
  6. Step 6: Final answer
    x = 16,382.99

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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.