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Finding the Fourth Proportional to 20,834, 28,750.92 and 11,402.57

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Solution

The fourth proportional to 20,834, 28,750.92 and 11,402.57 is: 15,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834 : 28,750.92 = 11,402.57 : x
  2. Step 2: Convert to fraction form
    20,834/28,750.92 = 11,402.57/x
  3. Step 3: Cross multiply
    20,834x = 28,750.92 × 11,402.57
  4. Step 4: Simplify right side
    20,834x = 327,834,377.86
  5. Step 5: Solve for x
    x = 327,834,377.86/20,834
  6. Step 6: Final answer
    x = 15,735.55

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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.