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Finding the Fourth Proportional to 21,114.50, 29,139.09 and 12,731.54

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Solution

The fourth proportional to 21,114.50, 29,139.09 and 12,731.54 is: 17,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.50 : 29,139.09 = 12,731.54 : x
  2. Step 2: Convert to fraction form
    21,114.50/29,139.09 = 12,731.54/x
  3. Step 3: Cross multiply
    21,114.50x = 29,139.09 × 12,731.54
  4. Step 4: Simplify right side
    21,114.50x = 370,985,489.90
  5. Step 5: Solve for x
    x = 370,985,489.90/21,114.50
  6. Step 6: Final answer
    x = 17,570.18

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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.