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Finding the Fourth Proportional to 21,116.28, 29,138.94 and 11,685

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Solution

The fourth proportional to 21,116.28, 29,138.94 and 11,685 is: 16,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.28 : 29,138.94 = 11,685 : x
  2. Step 2: Convert to fraction form
    21,116.28/29,138.94 = 11,685/x
  3. Step 3: Cross multiply
    21,116.28x = 29,138.94 × 11,685
  4. Step 4: Simplify right side
    21,116.28x = 340,488,513.90
  5. Step 5: Solve for x
    x = 340,488,513.90/21,116.28
  6. Step 6: Final answer
    x = 16,124.46

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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.