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Finding the Fourth Proportional to 21,677.81, 32,521.11 and 12,322.31

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Solution

The fourth proportional to 21,677.81, 32,521.11 and 12,322.31 is: 18,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.81 : 32,521.11 = 12,322.31 : x
  2. Step 2: Convert to fraction form
    21,677.81/32,521.11 = 12,322.31/x
  3. Step 3: Cross multiply
    21,677.81x = 32,521.11 × 12,322.31
  4. Step 4: Simplify right side
    21,677.81x = 400,735,137.35
  5. Step 5: Solve for x
    x = 400,735,137.35/21,677.81
  6. Step 6: Final answer
    x = 18,485.96

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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.