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Finding the Fourth Proportional to 14,468, 19,965.84 and 7,844

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Solution

The fourth proportional to 14,468, 19,965.84 and 7,844 is: 10,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468 : 19,965.84 = 7,844 : x
  2. Step 2: Convert to fraction form
    14,468/19,965.84 = 7,844/x
  3. Step 3: Cross multiply
    14,468x = 19,965.84 × 7,844
  4. Step 4: Simplify right side
    14,468x = 156,612,048.96
  5. Step 5: Solve for x
    x = 156,612,048.96/14,468
  6. Step 6: Final answer
    x = 10,824.72

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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.