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Finding the Fourth Proportional to 20,833.57, 28,750.80 and 11,402.16

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Solution

The fourth proportional to 20,833.57, 28,750.80 and 11,402.16 is: 15,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.57 : 28,750.80 = 11,402.16 : x
  2. Step 2: Convert to fraction form
    20,833.57/28,750.80 = 11,402.16/x
  3. Step 3: Cross multiply
    20,833.57x = 28,750.80 × 11,402.16
  4. Step 4: Simplify right side
    20,833.57x = 327,821,221.73
  5. Step 5: Solve for x
    x = 327,821,221.73/20,833.57
  6. Step 6: Final answer
    x = 15,735.24

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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.