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Finding the Fourth Proportional to 20,025, 27,633.42 and 11,071.98

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Solution

The fourth proportional to 20,025, 27,633.42 and 11,071.98 is: 15,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,025 : 27,633.42 = 11,071.98 : x
  2. Step 2: Convert to fraction form
    20,025/27,633.42 = 11,071.98/x
  3. Step 3: Cross multiply
    20,025x = 27,633.42 × 11,071.98
  4. Step 4: Simplify right side
    20,025x = 305,956,673.57
  5. Step 5: Solve for x
    x = 305,956,673.57/20,025
  6. Step 6: Final answer
    x = 15,278.74

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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.