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Finding the Fourth Proportional to 13,674.43, 20,497.06 and 5,775.31

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Solution

The fourth proportional to 13,674.43, 20,497.06 and 5,775.31 is: 8,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.43 : 20,497.06 = 5,775.31 : x
  2. Step 2: Convert to fraction form
    13,674.43/20,497.06 = 5,775.31/x
  3. Step 3: Cross multiply
    13,674.43x = 20,497.06 × 5,775.31
  4. Step 4: Simplify right side
    13,674.43x = 118,376,875.59
  5. Step 5: Solve for x
    x = 118,376,875.59/13,674.43
  6. Step 6: Final answer
    x = 8,656.81

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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.