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Finding the Fourth Proportional to 13,402.71, 20,077.26 and 8,062.94

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Solution

The fourth proportional to 13,402.71, 20,077.26 and 8,062.94 is: 12,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.71 : 20,077.26 = 8,062.94 : x
  2. Step 2: Convert to fraction form
    13,402.71/20,077.26 = 8,062.94/x
  3. Step 3: Cross multiply
    13,402.71x = 20,077.26 × 8,062.94
  4. Step 4: Simplify right side
    13,402.71x = 161,881,762.70
  5. Step 5: Solve for x
    x = 161,881,762.70/13,402.71
  6. Step 6: Final answer
    x = 12,078.29

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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.