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Finding the Fourth Proportional to 21,609.40, 32,427.78 and 8,461.44

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Solution

The fourth proportional to 21,609.40, 32,427.78 and 8,461.44 is: 12,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609.40 : 32,427.78 = 8,461.44 : x
  2. Step 2: Convert to fraction form
    21,609.40/32,427.78 = 8,461.44/x
  3. Step 3: Cross multiply
    21,609.40x = 32,427.78 × 8,461.44
  4. Step 4: Simplify right side
    21,609.40x = 274,385,714.80
  5. Step 5: Solve for x
    x = 274,385,714.80/21,609.40
  6. Step 6: Final answer
    x = 12,697.52

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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.