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Finding the Fourth Proportional to 13,657.86, 20,491.77 and 5,762.34

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Solution

The fourth proportional to 13,657.86, 20,491.77 and 5,762.34 is: 8,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.86 : 20,491.77 = 5,762.34 : x
  2. Step 2: Convert to fraction form
    13,657.86/20,491.77 = 5,762.34/x
  3. Step 3: Cross multiply
    13,657.86x = 20,491.77 × 5,762.34
  4. Step 4: Simplify right side
    13,657.86x = 118,080,545.94
  5. Step 5: Solve for x
    x = 118,080,545.94/13,657.86
  6. Step 6: Final answer
    x = 8,645.61

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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.