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Finding the Fourth Proportional to 21,406.50, 29,540.97 and 11,975.06

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Solution

The fourth proportional to 21,406.50, 29,540.97 and 11,975.06 is: 16,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.50 : 29,540.97 = 11,975.06 : x
  2. Step 2: Convert to fraction form
    21,406.50/29,540.97 = 11,975.06/x
  3. Step 3: Cross multiply
    21,406.50x = 29,540.97 × 11,975.06
  4. Step 4: Simplify right side
    21,406.50x = 353,754,962.06
  5. Step 5: Solve for x
    x = 353,754,962.06/21,406.50
  6. Step 6: Final answer
    x = 16,525.59

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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.