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Finding the Fourth Proportional to 20,341.82, 30,512.94 and 9,809.39

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Solution

The fourth proportional to 20,341.82, 30,512.94 and 9,809.39 is: 14,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.82 : 30,512.94 = 9,809.39 : x
  2. Step 2: Convert to fraction form
    20,341.82/30,512.94 = 9,809.39/x
  3. Step 3: Cross multiply
    20,341.82x = 30,512.94 × 9,809.39
  4. Step 4: Simplify right side
    20,341.82x = 299,313,368.00
  5. Step 5: Solve for x
    x = 299,313,368.00/20,341.82
  6. Step 6: Final answer
    x = 14,714.19

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