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Finding the Fourth Proportional to 21,077.96, 31,620.36 and 9,844.53

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Solution

The fourth proportional to 21,077.96, 31,620.36 and 9,844.53 is: 14,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.96 : 31,620.36 = 9,844.53 : x
  2. Step 2: Convert to fraction form
    21,077.96/31,620.36 = 9,844.53/x
  3. Step 3: Cross multiply
    21,077.96x = 31,620.36 × 9,844.53
  4. Step 4: Simplify right side
    21,077.96x = 311,287,540.50
  5. Step 5: Solve for x
    x = 311,287,540.50/21,077.96
  6. Step 6: Final answer
    x = 14,768.39

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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.