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Finding the Fourth Proportional to 14,512.71, 20,029.22 and 8,141.05

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Solution

The fourth proportional to 14,512.71, 20,029.22 and 8,141.05 is: 11,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.71 : 20,029.22 = 8,141.05 : x
  2. Step 2: Convert to fraction form
    14,512.71/20,029.22 = 8,141.05/x
  3. Step 3: Cross multiply
    14,512.71x = 20,029.22 × 8,141.05
  4. Step 4: Simplify right side
    14,512.71x = 163,058,881.48
  5. Step 5: Solve for x
    x = 163,058,881.48/14,512.71
  6. Step 6: Final answer
    x = 11,235.59

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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.