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Finding the Fourth Proportional to 20,922.50, 28,873.05 and 11,490.86

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Solution

The fourth proportional to 20,922.50, 28,873.05 and 11,490.86 is: 15,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922.50 : 28,873.05 = 11,490.86 : x
  2. Step 2: Convert to fraction form
    20,922.50/28,873.05 = 11,490.86/x
  3. Step 3: Cross multiply
    20,922.50x = 28,873.05 × 11,490.86
  4. Step 4: Simplify right side
    20,922.50x = 331,776,175.32
  5. Step 5: Solve for x
    x = 331,776,175.32/20,922.50
  6. Step 6: Final answer
    x = 15,857.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.