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Finding the Fourth Proportional to 38,982.82, 58,477.87 and 12,680.50

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Solution

The fourth proportional to 38,982.82, 58,477.87 and 12,680.50 is: 19,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982.82 : 58,477.87 = 12,680.50 : x
  2. Step 2: Convert to fraction form
    38,982.82/58,477.87 = 12,680.50/x
  3. Step 3: Cross multiply
    38,982.82x = 58,477.87 × 12,680.50
  4. Step 4: Simplify right side
    38,982.82x = 741,528,274.74
  5. Step 5: Solve for x
    x = 741,528,274.74/38,982.82
  6. Step 6: Final answer
    x = 19,021.93

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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.