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Finding the Fourth Proportional to 19,832.64, 29,749.05 and 6,685.12

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Solution

The fourth proportional to 19,832.64, 29,749.05 and 6,685.12 is: 10,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.64 : 29,749.05 = 6,685.12 : x
  2. Step 2: Convert to fraction form
    19,832.64/29,749.05 = 6,685.12/x
  3. Step 3: Cross multiply
    19,832.64x = 29,749.05 × 6,685.12
  4. Step 4: Simplify right side
    19,832.64x = 198,875,969.14
  5. Step 5: Solve for x
    x = 198,875,969.14/19,832.64
  6. Step 6: Final answer
    x = 10,027.71

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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.