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Finding the Fourth Proportional to 19,714.56, 29,579.04 and 9,327.12

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Solution

The fourth proportional to 19,714.56, 29,579.04 and 9,327.12 is: 13,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.56 : 29,579.04 = 9,327.12 : x
  2. Step 2: Convert to fraction form
    19,714.56/29,579.04 = 9,327.12/x
  3. Step 3: Cross multiply
    19,714.56x = 29,579.04 × 9,327.12
  4. Step 4: Simplify right side
    19,714.56x = 275,887,255.56
  5. Step 5: Solve for x
    x = 275,887,255.56/19,714.56
  6. Step 6: Final answer
    x = 13,994.09

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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.