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Finding the Fourth Proportional to 14,494.44, 21,611.84 and 14,232

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Solution

The fourth proportional to 14,494.44, 21,611.84 and 14,232 is: 21,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.44 : 21,611.84 = 14,232 : x
  2. Step 2: Convert to fraction form
    14,494.44/21,611.84 = 14,232/x
  3. Step 3: Cross multiply
    14,494.44x = 21,611.84 × 14,232
  4. Step 4: Simplify right side
    14,494.44x = 307,579,635.72
  5. Step 5: Solve for x
    x = 307,579,635.72/14,494.44
  6. Step 6: Final answer
    x = 21,220.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.