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Finding the Fourth Proportional to 14,853.06, 20,497.16 and 8,138.68

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Solution

The fourth proportional to 14,853.06, 20,497.16 and 8,138.68 is: 11,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.06 : 20,497.16 = 8,138.68 : x
  2. Step 2: Convert to fraction form
    14,853.06/20,497.16 = 8,138.68/x
  3. Step 3: Cross multiply
    14,853.06x = 20,497.16 × 8,138.68
  4. Step 4: Simplify right side
    14,853.06x = 166,819,795.25
  5. Step 5: Solve for x
    x = 166,819,795.25/14,853.06
  6. Step 6: Final answer
    x = 11,231.34

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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.