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Finding the Fourth Proportional to 20,826, 28,740.29 and 11,394.77

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Solution

The fourth proportional to 20,826, 28,740.29 and 11,394.77 is: 15,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 28,740.29 = 11,394.77 : x
  2. Step 2: Convert to fraction form
    20,826/28,740.29 = 11,394.77/x
  3. Step 3: Cross multiply
    20,826x = 28,740.29 × 11,394.77
  4. Step 4: Simplify right side
    20,826x = 327,488,793.61
  5. Step 5: Solve for x
    x = 327,488,793.61/20,826
  6. Step 6: Final answer
    x = 15,725.00

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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.