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Finding the Fourth Proportional to 12,835.20, 17,713.76 and 8,058.56

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Solution

The fourth proportional to 12,835.20, 17,713.76 and 8,058.56 is: 11,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.20 : 17,713.76 = 8,058.56 : x
  2. Step 2: Convert to fraction form
    12,835.20/17,713.76 = 8,058.56/x
  3. Step 3: Cross multiply
    12,835.20x = 17,713.76 × 8,058.56
  4. Step 4: Simplify right side
    12,835.20x = 142,747,397.79
  5. Step 5: Solve for x
    x = 142,747,397.79/12,835.20
  6. Step 6: Final answer
    x = 11,121.56

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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.