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Finding the Fourth Proportional to 21,119.68, 29,146.08 and 12,736

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Solution

The fourth proportional to 21,119.68, 29,146.08 and 12,736 is: 17,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,119.68 : 29,146.08 = 12,736 : x
  2. Step 2: Convert to fraction form
    21,119.68/29,146.08 = 12,736/x
  3. Step 3: Cross multiply
    21,119.68x = 29,146.08 × 12,736
  4. Step 4: Simplify right side
    21,119.68x = 371,204,474.88
  5. Step 5: Solve for x
    x = 371,204,474.88/21,119.68
  6. Step 6: Final answer
    x = 17,576.24

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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.