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Finding the Fourth Proportional to 12,958.43, 19,431.50 and 7,410.29

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Solution

The fourth proportional to 12,958.43, 19,431.50 and 7,410.29 is: 11,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.43 : 19,431.50 = 7,410.29 : x
  2. Step 2: Convert to fraction form
    12,958.43/19,431.50 = 7,410.29/x
  3. Step 3: Cross multiply
    12,958.43x = 19,431.50 × 7,410.29
  4. Step 4: Simplify right side
    12,958.43x = 143,992,915.93
  5. Step 5: Solve for x
    x = 143,992,915.93/12,958.43
  6. Step 6: Final answer
    x = 11,111.91

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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.