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Finding the Fourth Proportional to 14,853.78, 20,498.21 and 8,139.66

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Solution

The fourth proportional to 14,853.78, 20,498.21 and 8,139.66 is: 11,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.78 : 20,498.21 = 8,139.66 : x
  2. Step 2: Convert to fraction form
    14,853.78/20,498.21 = 8,139.66/x
  3. Step 3: Cross multiply
    14,853.78x = 20,498.21 × 8,139.66
  4. Step 4: Simplify right side
    14,853.78x = 166,848,460.01
  5. Step 5: Solve for x
    x = 166,848,460.01/14,853.78
  6. Step 6: Final answer
    x = 11,232.73

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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.