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Finding the Fourth Proportional to 13,730.71, 20,596.07 and 3,342.46

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Solution

The fourth proportional to 13,730.71, 20,596.07 and 3,342.46 is: 5,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.71 : 20,596.07 = 3,342.46 : x
  2. Step 2: Convert to fraction form
    13,730.71/20,596.07 = 3,342.46/x
  3. Step 3: Cross multiply
    13,730.71x = 20,596.07 × 3,342.46
  4. Step 4: Simplify right side
    13,730.71x = 68,841,540.13
  5. Step 5: Solve for x
    x = 68,841,540.13/13,730.71
  6. Step 6: Final answer
    x = 5,013.69

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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.