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Finding the Fourth Proportional to 21,645, 32,470.56 and 8,490.24

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Solution

The fourth proportional to 21,645, 32,470.56 and 8,490.24 is: 12,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645 : 32,470.56 = 8,490.24 : x
  2. Step 2: Convert to fraction form
    21,645/32,470.56 = 8,490.24/x
  3. Step 3: Cross multiply
    21,645x = 32,470.56 × 8,490.24
  4. Step 4: Simplify right side
    21,645x = 275,682,847.33
  5. Step 5: Solve for x
    x = 275,682,847.33/21,645
  6. Step 6: Final answer
    x = 12,736.56

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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.