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Finding the Fourth Proportional to 21,761.50, 30,031.06 and 11,825.50

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Solution

The fourth proportional to 21,761.50, 30,031.06 and 11,825.50 is: 16,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.50 : 30,031.06 = 11,825.50 : x
  2. Step 2: Convert to fraction form
    21,761.50/30,031.06 = 11,825.50/x
  3. Step 3: Cross multiply
    21,761.50x = 30,031.06 × 11,825.50
  4. Step 4: Simplify right side
    21,761.50x = 355,132,300.03
  5. Step 5: Solve for x
    x = 355,132,300.03/21,761.50
  6. Step 6: Final answer
    x = 16,319.29

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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.