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Finding the Fourth Proportional to 20,857.70, 28,784.35 and 11,426.27

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Solution

The fourth proportional to 20,857.70, 28,784.35 and 11,426.27 is: 15,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.70 : 28,784.35 = 11,426.27 : x
  2. Step 2: Convert to fraction form
    20,857.70/28,784.35 = 11,426.27/x
  3. Step 3: Cross multiply
    20,857.70x = 28,784.35 × 11,426.27
  4. Step 4: Simplify right side
    20,857.70x = 328,897,754.87
  5. Step 5: Solve for x
    x = 328,897,754.87/20,857.70
  6. Step 6: Final answer
    x = 15,768.65

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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.