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Finding the Fourth Proportional to 13,705.61, 20,551.37 and 6,685.92

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Solution

The fourth proportional to 13,705.61, 20,551.37 and 6,685.92 is: 10,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.61 : 20,551.37 = 6,685.92 : x
  2. Step 2: Convert to fraction form
    13,705.61/20,551.37 = 6,685.92/x
  3. Step 3: Cross multiply
    13,705.61x = 20,551.37 × 6,685.92
  4. Step 4: Simplify right side
    13,705.61x = 137,404,782.28
  5. Step 5: Solve for x
    x = 137,404,782.28/13,705.61
  6. Step 6: Final answer
    x = 10,025.44

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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.