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Finding the Fourth Proportional to 21,589.74, 32,384.34 and 8,451.36

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Solution

The fourth proportional to 21,589.74, 32,384.34 and 8,451.36 is: 12,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589.74 : 32,384.34 = 8,451.36 : x
  2. Step 2: Convert to fraction form
    21,589.74/32,384.34 = 8,451.36/x
  3. Step 3: Cross multiply
    21,589.74x = 32,384.34 × 8,451.36
  4. Step 4: Simplify right side
    21,589.74x = 273,691,715.70
  5. Step 5: Solve for x
    x = 273,691,715.70/21,589.74
  6. Step 6: Final answer
    x = 12,676.93

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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.