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Finding the Fourth Proportional to 13,657.86, 20,491.92 and 7,079.94

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Solution

The fourth proportional to 13,657.86, 20,491.92 and 7,079.94 is: 10,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.86 : 20,491.92 = 7,079.94 : x
  2. Step 2: Convert to fraction form
    13,657.86/20,491.92 = 7,079.94/x
  3. Step 3: Cross multiply
    13,657.86x = 20,491.92 × 7,079.94
  4. Step 4: Simplify right side
    13,657.86x = 145,081,564.08
  5. Step 5: Solve for x
    x = 145,081,564.08/13,657.86
  6. Step 6: Final answer
    x = 10,622.57

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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.