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Finding the Fourth Proportional to 21,606.33, 32,408.40 and 8,461.11

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Solution

The fourth proportional to 21,606.33, 32,408.40 and 8,461.11 is: 12,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606.33 : 32,408.40 = 8,461.11 : x
  2. Step 2: Convert to fraction form
    21,606.33/32,408.40 = 8,461.11/x
  3. Step 3: Cross multiply
    21,606.33x = 32,408.40 × 8,461.11
  4. Step 4: Simplify right side
    21,606.33x = 274,211,037.32
  5. Step 5: Solve for x
    x = 274,211,037.32/21,606.33
  6. Step 6: Final answer
    x = 12,691.24

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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.