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Finding the Fourth Proportional to 13,674.93, 20,497.82 and 5,775.81

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Solution

The fourth proportional to 13,674.93, 20,497.82 and 5,775.81 is: 8,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.93 : 20,497.82 = 5,775.81 : x
  2. Step 2: Convert to fraction form
    13,674.93/20,497.82 = 5,775.81/x
  3. Step 3: Cross multiply
    13,674.93x = 20,497.82 × 5,775.81
  4. Step 4: Simplify right side
    13,674.93x = 118,391,484.86
  5. Step 5: Solve for x
    x = 118,391,484.86/13,674.93
  6. Step 6: Final answer
    x = 8,657.56

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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.