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Finding the Fourth Proportional to 38,853.92, 58,286.64 and 14,228

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Solution

The fourth proportional to 38,853.92, 58,286.64 and 14,228 is: 21,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.92 : 58,286.64 = 14,228 : x
  2. Step 2: Convert to fraction form
    38,853.92/58,286.64 = 14,228/x
  3. Step 3: Cross multiply
    38,853.92x = 58,286.64 × 14,228
  4. Step 4: Simplify right side
    38,853.92x = 829,302,313.92
  5. Step 5: Solve for x
    x = 829,302,313.92/38,853.92
  6. Step 6: Final answer
    x = 21,344.11

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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.