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Finding the Fourth Proportional to 21,832.44, 30,127.86 and 12,401.88

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Solution

The fourth proportional to 21,832.44, 30,127.86 and 12,401.88 is: 17,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.44 : 30,127.86 = 12,401.88 : x
  2. Step 2: Convert to fraction form
    21,832.44/30,127.86 = 12,401.88/x
  3. Step 3: Cross multiply
    21,832.44x = 30,127.86 × 12,401.88
  4. Step 4: Simplify right side
    21,832.44x = 373,642,104.38
  5. Step 5: Solve for x
    x = 373,642,104.38/21,832.44
  6. Step 6: Final answer
    x = 17,114.08

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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.