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Finding the Fourth Proportional to 21,893.54, 32,841.02 and 8,566.01

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Solution

The fourth proportional to 21,893.54, 32,841.02 and 8,566.01 is: 12,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.54 : 32,841.02 = 8,566.01 : x
  2. Step 2: Convert to fraction form
    21,893.54/32,841.02 = 8,566.01/x
  3. Step 3: Cross multiply
    21,893.54x = 32,841.02 × 8,566.01
  4. Step 4: Simplify right side
    21,893.54x = 281,316,505.73
  5. Step 5: Solve for x
    x = 281,316,505.73/21,893.54
  6. Step 6: Final answer
    x = 12,849.29

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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.