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Finding the Fourth Proportional to 20,051, 27,669.98 and 11,098.50

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Solution

The fourth proportional to 20,051, 27,669.98 and 11,098.50 is: 15,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051 : 27,669.98 = 11,098.50 : x
  2. Step 2: Convert to fraction form
    20,051/27,669.98 = 11,098.50/x
  3. Step 3: Cross multiply
    20,051x = 27,669.98 × 11,098.50
  4. Step 4: Simplify right side
    20,051x = 307,095,273.03
  5. Step 5: Solve for x
    x = 307,095,273.03/20,051
  6. Step 6: Final answer
    x = 15,315.71

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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.