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Finding the Fourth Proportional to 20,774.86, 28,662.56 and 12,277.24

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Solution

The fourth proportional to 20,774.86, 28,662.56 and 12,277.24 is: 16,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.86 : 28,662.56 = 12,277.24 : x
  2. Step 2: Convert to fraction form
    20,774.86/28,662.56 = 12,277.24/x
  3. Step 3: Cross multiply
    20,774.86x = 28,662.56 × 12,277.24
  4. Step 4: Simplify right side
    20,774.86x = 351,897,041.13
  5. Step 5: Solve for x
    x = 351,897,041.13/20,774.86
  6. Step 6: Final answer
    x = 16,938.60

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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.