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Finding the Fourth Proportional to 20,276.58, 30,394.08 and 9,191.28

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Solution

The fourth proportional to 20,276.58, 30,394.08 and 9,191.28 is: 13,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276.58 : 30,394.08 = 9,191.28 : x
  2. Step 2: Convert to fraction form
    20,276.58/30,394.08 = 9,191.28/x
  3. Step 3: Cross multiply
    20,276.58x = 30,394.08 × 9,191.28
  4. Step 4: Simplify right side
    20,276.58x = 279,360,499.62
  5. Step 5: Solve for x
    x = 279,360,499.62/20,276.58
  6. Step 6: Final answer
    x = 13,777.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.