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Finding the Fourth Proportional to 20,507.16, 30,733.92 and 19,992

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Solution

The fourth proportional to 20,507.16, 30,733.92 and 19,992 is: 29,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.16 : 30,733.92 = 19,992 : x
  2. Step 2: Convert to fraction form
    20,507.16/30,733.92 = 19,992/x
  3. Step 3: Cross multiply
    20,507.16x = 30,733.92 × 19,992
  4. Step 4: Simplify right side
    20,507.16x = 614,432,528.64
  5. Step 5: Solve for x
    x = 614,432,528.64/20,507.16
  6. Step 6: Final answer
    x = 29,961.85

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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.