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Finding the Fourth Proportional to 21,077.14, 29,087.04 and 11,646.31

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Solution

The fourth proportional to 21,077.14, 29,087.04 and 11,646.31 is: 16,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.14 : 29,087.04 = 11,646.31 : x
  2. Step 2: Convert to fraction form
    21,077.14/29,087.04 = 11,646.31/x
  3. Step 3: Cross multiply
    21,077.14x = 29,087.04 × 11,646.31
  4. Step 4: Simplify right side
    21,077.14x = 338,756,684.82
  5. Step 5: Solve for x
    x = 338,756,684.82/21,077.14
  6. Step 6: Final answer
    x = 16,072.23

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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.