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Finding the Fourth Proportional to 20,680, 30,995.29 and 7,525.21

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Solution

The fourth proportional to 20,680, 30,995.29 and 7,525.21 is: 11,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680 : 30,995.29 = 7,525.21 : x
  2. Step 2: Convert to fraction form
    20,680/30,995.29 = 7,525.21/x
  3. Step 3: Cross multiply
    20,680x = 30,995.29 × 7,525.21
  4. Step 4: Simplify right side
    20,680x = 233,246,066.26
  5. Step 5: Solve for x
    x = 233,246,066.26/20,680
  6. Step 6: Final answer
    x = 11,278.82

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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.