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Finding the Fourth Proportional to 14,229, 21,346.74 and 4,995

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Solution

The fourth proportional to 14,229, 21,346.74 and 4,995 is: 7,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229 : 21,346.74 = 4,995 : x
  2. Step 2: Convert to fraction form
    14,229/21,346.74 = 4,995/x
  3. Step 3: Cross multiply
    14,229x = 21,346.74 × 4,995
  4. Step 4: Simplify right side
    14,229x = 106,626,966.30
  5. Step 5: Solve for x
    x = 106,626,966.30/14,229
  6. Step 6: Final answer
    x = 7,493.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.