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Finding the Fourth Proportional to 20,341.64, 30,512.66 and 9,809.21

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Solution

The fourth proportional to 20,341.64, 30,512.66 and 9,809.21 is: 14,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.64 : 30,512.66 = 9,809.21 : x
  2. Step 2: Convert to fraction form
    20,341.64/30,512.66 = 9,809.21/x
  3. Step 3: Cross multiply
    20,341.64x = 30,512.66 × 9,809.21
  4. Step 4: Simplify right side
    20,341.64x = 299,304,887.99
  5. Step 5: Solve for x
    x = 299,304,887.99/20,341.64
  6. Step 6: Final answer
    x = 14,713.91

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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.