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Finding the Fourth Proportional to 14,456.22, 19,949.43 and 7,832.22

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Solution

The fourth proportional to 14,456.22, 19,949.43 and 7,832.22 is: 10,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.22 : 19,949.43 = 7,832.22 : x
  2. Step 2: Convert to fraction form
    14,456.22/19,949.43 = 7,832.22/x
  3. Step 3: Cross multiply
    14,456.22x = 19,949.43 × 7,832.22
  4. Step 4: Simplify right side
    14,456.22x = 156,248,324.63
  5. Step 5: Solve for x
    x = 156,248,324.63/14,456.22
  6. Step 6: Final answer
    x = 10,808.38

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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.