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Finding the Fourth Proportional to 13,484.27, 20,207.95 and 6,896.68

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Solution

The fourth proportional to 13,484.27, 20,207.95 and 6,896.68 is: 10,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.27 : 20,207.95 = 6,896.68 : x
  2. Step 2: Convert to fraction form
    13,484.27/20,207.95 = 6,896.68/x
  3. Step 3: Cross multiply
    13,484.27x = 20,207.95 × 6,896.68
  4. Step 4: Simplify right side
    13,484.27x = 139,367,696.84
  5. Step 5: Solve for x
    x = 139,367,696.84/13,484.27
  6. Step 6: Final answer
    x = 10,335.57

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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.