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Finding the Fourth Proportional to 14,471.57, 21,707.30 and 4,611.64

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Solution

The fourth proportional to 14,471.57, 21,707.30 and 4,611.64 is: 6,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.57 : 21,707.30 = 4,611.64 : x
  2. Step 2: Convert to fraction form
    14,471.57/21,707.30 = 4,611.64/x
  3. Step 3: Cross multiply
    14,471.57x = 21,707.30 × 4,611.64
  4. Step 4: Simplify right side
    14,471.57x = 100,106,121.38
  5. Step 5: Solve for x
    x = 100,106,121.38/14,471.57
  6. Step 6: Final answer
    x = 6,917.44

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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.