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Finding the Fourth Proportional to 20,966.40, 31,450.08 and 5,384.16

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Solution

The fourth proportional to 20,966.40, 31,450.08 and 5,384.16 is: 8,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966.40 : 31,450.08 = 5,384.16 : x
  2. Step 2: Convert to fraction form
    20,966.40/31,450.08 = 5,384.16/x
  3. Step 3: Cross multiply
    20,966.40x = 31,450.08 × 5,384.16
  4. Step 4: Simplify right side
    20,966.40x = 169,332,262.73
  5. Step 5: Solve for x
    x = 169,332,262.73/20,966.40
  6. Step 6: Final answer
    x = 8,076.36

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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.