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Finding the Fourth Proportional to 21,077.94, 29,087.50 and 11,646.44

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Solution

The fourth proportional to 21,077.94, 29,087.50 and 11,646.44 is: 16,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.94 : 29,087.50 = 11,646.44 : x
  2. Step 2: Convert to fraction form
    21,077.94/29,087.50 = 11,646.44/x
  3. Step 3: Cross multiply
    21,077.94x = 29,087.50 × 11,646.44
  4. Step 4: Simplify right side
    21,077.94x = 338,765,823.50
  5. Step 5: Solve for x
    x = 338,765,823.50/21,077.94
  6. Step 6: Final answer
    x = 16,072.06

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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.