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Finding the Fourth Proportional to 21,601.68, 32,329.35 and 13,286.97

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Solution

The fourth proportional to 21,601.68, 32,329.35 and 13,286.97 is: 19,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601.68 : 32,329.35 = 13,286.97 : x
  2. Step 2: Convert to fraction form
    21,601.68/32,329.35 = 13,286.97/x
  3. Step 3: Cross multiply
    21,601.68x = 32,329.35 × 13,286.97
  4. Step 4: Simplify right side
    21,601.68x = 429,559,103.57
  5. Step 5: Solve for x
    x = 429,559,103.57/21,601.68
  6. Step 6: Final answer
    x = 19,885.45

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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.