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Finding the Fourth Proportional to 20,100.82, 27,710.44 and 14,433.76

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Solution

The fourth proportional to 20,100.82, 27,710.44 and 14,433.76 is: 19,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100.82 : 27,710.44 = 14,433.76 : x
  2. Step 2: Convert to fraction form
    20,100.82/27,710.44 = 14,433.76/x
  3. Step 3: Cross multiply
    20,100.82x = 27,710.44 × 14,433.76
  4. Step 4: Simplify right side
    20,100.82x = 399,965,840.45
  5. Step 5: Solve for x
    x = 399,965,840.45/20,100.82
  6. Step 6: Final answer
    x = 19,897.99

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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.