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Finding the Fourth Proportional to 14,853.17, 20,497.37 and 8,138.81

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Solution

The fourth proportional to 14,853.17, 20,497.37 and 8,138.81 is: 11,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.17 : 20,497.37 = 8,138.81 : x
  2. Step 2: Convert to fraction form
    14,853.17/20,497.37 = 8,138.81/x
  3. Step 3: Cross multiply
    14,853.17x = 20,497.37 × 8,138.81
  4. Step 4: Simplify right side
    14,853.17x = 166,824,256.26
  5. Step 5: Solve for x
    x = 166,824,256.26/14,853.17
  6. Step 6: Final answer
    x = 11,231.56

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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.