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Finding the Fourth Proportional to 20,575.88, 28,394.72 and 11,144.48

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Solution

The fourth proportional to 20,575.88, 28,394.72 and 11,144.48 is: 15,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.88 : 28,394.72 = 11,144.48 : x
  2. Step 2: Convert to fraction form
    20,575.88/28,394.72 = 11,144.48/x
  3. Step 3: Cross multiply
    20,575.88x = 28,394.72 × 11,144.48
  4. Step 4: Simplify right side
    20,575.88x = 316,444,389.15
  5. Step 5: Solve for x
    x = 316,444,389.15/20,575.88
  6. Step 6: Final answer
    x = 15,379.39

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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.