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Finding the Fourth Proportional to 14,456, 19,949.28 and 7,832

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Solution

The fourth proportional to 14,456, 19,949.28 and 7,832 is: 10,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456 : 19,949.28 = 7,832 : x
  2. Step 2: Convert to fraction form
    14,456/19,949.28 = 7,832/x
  3. Step 3: Cross multiply
    14,456x = 19,949.28 × 7,832
  4. Step 4: Simplify right side
    14,456x = 156,242,760.96
  5. Step 5: Solve for x
    x = 156,242,760.96/14,456
  6. Step 6: Final answer
    x = 10,808.16

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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.