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Finding the Fourth Proportional to 14,853.21, 20,497.43 and 8,138.77

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Solution

The fourth proportional to 14,853.21, 20,497.43 and 8,138.77 is: 11,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.21 : 20,497.43 = 8,138.77 : x
  2. Step 2: Convert to fraction form
    14,853.21/20,497.43 = 8,138.77/x
  3. Step 3: Cross multiply
    14,853.21x = 20,497.43 × 8,138.77
  4. Step 4: Simplify right side
    14,853.21x = 166,823,868.36
  5. Step 5: Solve for x
    x = 166,823,868.36/14,853.21
  6. Step 6: Final answer
    x = 11,231.50

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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.