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Finding the Fourth Proportional to 19,832.60, 29,741.18 and 9,965

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Solution

The fourth proportional to 19,832.60, 29,741.18 and 9,965 is: 14,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.60 : 29,741.18 = 9,965 : x
  2. Step 2: Convert to fraction form
    19,832.60/29,741.18 = 9,965/x
  3. Step 3: Cross multiply
    19,832.60x = 29,741.18 × 9,965
  4. Step 4: Simplify right side
    19,832.60x = 296,370,858.70
  5. Step 5: Solve for x
    x = 296,370,858.70/19,832.60
  6. Step 6: Final answer
    x = 14,943.62

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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.