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Finding the Fourth Proportional to 21,402.66, 32,082.92 and 12,506.70

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Solution

The fourth proportional to 21,402.66, 32,082.92 and 12,506.70 is: 18,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.66 : 32,082.92 = 12,506.70 : x
  2. Step 2: Convert to fraction form
    21,402.66/32,082.92 = 12,506.70/x
  3. Step 3: Cross multiply
    21,402.66x = 32,082.92 × 12,506.70
  4. Step 4: Simplify right side
    21,402.66x = 401,251,295.15
  5. Step 5: Solve for x
    x = 401,251,295.15/21,402.66
  6. Step 6: Final answer
    x = 18,747.73

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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.