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Finding the Fourth Proportional to 20,894.68, 28,832.94 and 11,463.24

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Solution

The fourth proportional to 20,894.68, 28,832.94 and 11,463.24 is: 15,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.68 : 28,832.94 = 11,463.24 : x
  2. Step 2: Convert to fraction form
    20,894.68/28,832.94 = 11,463.24/x
  3. Step 3: Cross multiply
    20,894.68x = 28,832.94 × 11,463.24
  4. Step 4: Simplify right side
    20,894.68x = 330,518,911.13
  5. Step 5: Solve for x
    x = 330,518,911.13/20,894.68
  6. Step 6: Final answer
    x = 15,818.33

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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.