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Finding the Fourth Proportional to 12,885.43, 17,782.33 and 12,294.94

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Solution

The fourth proportional to 12,885.43, 17,782.33 and 12,294.94 is: 16,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.43 : 17,782.33 = 12,294.94 : x
  2. Step 2: Convert to fraction form
    12,885.43/17,782.33 = 12,294.94/x
  3. Step 3: Cross multiply
    12,885.43x = 17,782.33 × 12,294.94
  4. Step 4: Simplify right side
    12,885.43x = 218,632,574.48
  5. Step 5: Solve for x
    x = 218,632,574.48/12,885.43
  6. Step 6: Final answer
    x = 16,967.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.