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Finding the Fourth Proportional to 21,407.20, 29,542.84 and 13,232.62

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Solution

The fourth proportional to 21,407.20, 29,542.84 and 13,232.62 is: 18,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.20 : 29,542.84 = 13,232.62 : x
  2. Step 2: Convert to fraction form
    21,407.20/29,542.84 = 13,232.62/x
  3. Step 3: Cross multiply
    21,407.20x = 29,542.84 × 13,232.62
  4. Step 4: Simplify right side
    21,407.20x = 390,929,175.44
  5. Step 5: Solve for x
    x = 390,929,175.44/21,407.20
  6. Step 6: Final answer
    x = 18,261.57

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