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Finding the Fourth Proportional to 29,213.56, 43,821.88 and 9,490.66

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Solution

The fourth proportional to 29,213.56, 43,821.88 and 9,490.66 is: 14,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,213.56 : 43,821.88 = 9,490.66 : x
  2. Step 2: Convert to fraction form
    29,213.56/43,821.88 = 9,490.66/x
  3. Step 3: Cross multiply
    29,213.56x = 43,821.88 × 9,490.66
  4. Step 4: Simplify right side
    29,213.56x = 415,898,563.64
  5. Step 5: Solve for x
    x = 415,898,563.64/29,213.56
  6. Step 6: Final answer
    x = 14,236.49

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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.