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Finding the Fourth Proportional to 21,612.80, 29,817.48 and 13,652

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Solution

The fourth proportional to 21,612.80, 29,817.48 and 13,652 is: 18,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.80 : 29,817.48 = 13,652 : x
  2. Step 2: Convert to fraction form
    21,612.80/29,817.48 = 13,652/x
  3. Step 3: Cross multiply
    21,612.80x = 29,817.48 × 13,652
  4. Step 4: Simplify right side
    21,612.80x = 407,068,236.96
  5. Step 5: Solve for x
    x = 407,068,236.96/21,612.80
  6. Step 6: Final answer
    x = 18,834.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.