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Finding the Fourth Proportional to 19,622.40, 29,431.09 and 6,471.51

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Solution

The fourth proportional to 19,622.40, 29,431.09 and 6,471.51 is: 9,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622.40 : 29,431.09 = 6,471.51 : x
  2. Step 2: Convert to fraction form
    19,622.40/29,431.09 = 6,471.51/x
  3. Step 3: Cross multiply
    19,622.40x = 29,431.09 × 6,471.51
  4. Step 4: Simplify right side
    19,622.40x = 190,463,593.25
  5. Step 5: Solve for x
    x = 190,463,593.25/19,622.40
  6. Step 6: Final answer
    x = 9,706.44

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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.