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Finding the Fourth Proportional to 21,892.34, 32,841.74 and 8,040.26

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Solution

The fourth proportional to 21,892.34, 32,841.74 and 8,040.26 is: 12,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.34 : 32,841.74 = 8,040.26 : x
  2. Step 2: Convert to fraction form
    21,892.34/32,841.74 = 8,040.26/x
  3. Step 3: Cross multiply
    21,892.34x = 32,841.74 × 8,040.26
  4. Step 4: Simplify right side
    21,892.34x = 264,056,128.45
  5. Step 5: Solve for x
    x = 264,056,128.45/21,892.34
  6. Step 6: Final answer
    x = 12,061.58

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Why These Related Problems?

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