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Finding the Fourth Proportional to 14,852.82, 20,497.14 and 8,138

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Solution

The fourth proportional to 14,852.82, 20,497.14 and 8,138 is: 11,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.82 : 20,497.14 = 8,138 : x
  2. Step 2: Convert to fraction form
    14,852.82/20,497.14 = 8,138/x
  3. Step 3: Cross multiply
    14,852.82x = 20,497.14 × 8,138
  4. Step 4: Simplify right side
    14,852.82x = 166,805,725.32
  5. Step 5: Solve for x
    x = 166,805,725.32/14,852.82
  6. Step 6: Final answer
    x = 11,230.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.