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Finding the Fourth Proportional to 20,023.84, 30,077.28 and 15,892.96

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Solution

The fourth proportional to 20,023.84, 30,077.28 and 15,892.96 is: 23,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.84 : 30,077.28 = 15,892.96 : x
  2. Step 2: Convert to fraction form
    20,023.84/30,077.28 = 15,892.96/x
  3. Step 3: Cross multiply
    20,023.84x = 30,077.28 × 15,892.96
  4. Step 4: Simplify right side
    20,023.84x = 478,017,007.95
  5. Step 5: Solve for x
    x = 478,017,007.95/20,023.84
  6. Step 6: Final answer
    x = 23,872.39

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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.