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Finding the Fourth Proportional to 20,026, 27,634.80 and 11,072.98

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Solution

The fourth proportional to 20,026, 27,634.80 and 11,072.98 is: 15,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026 : 27,634.80 = 11,072.98 : x
  2. Step 2: Convert to fraction form
    20,026/27,634.80 = 11,072.98/x
  3. Step 3: Cross multiply
    20,026x = 27,634.80 × 11,072.98
  4. Step 4: Simplify right side
    20,026x = 305,999,587.70
  5. Step 5: Solve for x
    x = 305,999,587.70/20,026
  6. Step 6: Final answer
    x = 15,280.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.