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Finding the Fourth Proportional to 20,894.32, 28,834.14 and 11,462.68

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Solution

The fourth proportional to 20,894.32, 28,834.14 and 11,462.68 is: 15,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.32 : 28,834.14 = 11,462.68 : x
  2. Step 2: Convert to fraction form
    20,894.32/28,834.14 = 11,462.68/x
  3. Step 3: Cross multiply
    20,894.32x = 28,834.14 × 11,462.68
  4. Step 4: Simplify right side
    20,894.32x = 330,516,519.90
  5. Step 5: Solve for x
    x = 330,516,519.90/20,894.32
  6. Step 6: Final answer
    x = 15,818.49

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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.