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Finding the Fourth Proportional to 13,402.34, 20,076.69 and 8,062.57

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Solution

The fourth proportional to 13,402.34, 20,076.69 and 8,062.57 is: 12,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.34 : 20,076.69 = 8,062.57 : x
  2. Step 2: Convert to fraction form
    13,402.34/20,076.69 = 8,062.57/x
  3. Step 3: Cross multiply
    13,402.34x = 20,076.69 × 8,062.57
  4. Step 4: Simplify right side
    13,402.34x = 161,869,668.30
  5. Step 5: Solve for x
    x = 161,869,668.30/13,402.34
  6. Step 6: Final answer
    x = 12,077.72

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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.