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Finding the Fourth Proportional to 38,852.92, 58,285.14 and 14,227

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Solution

The fourth proportional to 38,852.92, 58,285.14 and 14,227 is: 21,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,852.92 : 58,285.14 = 14,227 : x
  2. Step 2: Convert to fraction form
    38,852.92/58,285.14 = 14,227/x
  3. Step 3: Cross multiply
    38,852.92x = 58,285.14 × 14,227
  4. Step 4: Simplify right side
    38,852.92x = 829,222,686.78
  5. Step 5: Solve for x
    x = 829,222,686.78/38,852.92
  6. Step 6: Final answer
    x = 21,342.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.