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Finding the Fourth Proportional to 21,401.10, 32,094.30 and 8,252.34

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Solution

The fourth proportional to 21,401.10, 32,094.30 and 8,252.34 is: 12,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.10 : 32,094.30 = 8,252.34 : x
  2. Step 2: Convert to fraction form
    21,401.10/32,094.30 = 8,252.34/x
  3. Step 3: Cross multiply
    21,401.10x = 32,094.30 × 8,252.34
  4. Step 4: Simplify right side
    21,401.10x = 264,853,075.66
  5. Step 5: Solve for x
    x = 264,853,075.66/21,401.10
  6. Step 6: Final answer
    x = 12,375.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.