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Finding the Fourth Proportional to 19,832.90, 29,771.22 and 9,969.53

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Solution

The fourth proportional to 19,832.90, 29,771.22 and 9,969.53 is: 14,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.90 : 29,771.22 = 9,969.53 : x
  2. Step 2: Convert to fraction form
    19,832.90/29,771.22 = 9,969.53/x
  3. Step 3: Cross multiply
    19,832.90x = 29,771.22 × 9,969.53
  4. Step 4: Simplify right side
    19,832.90x = 296,805,070.93
  5. Step 5: Solve for x
    x = 296,805,070.93/19,832.90
  6. Step 6: Final answer
    x = 14,965.29

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