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Finding the Fourth Proportional to 20,881.16, 31,299.06 and 9,780.92

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Solution

The fourth proportional to 20,881.16, 31,299.06 and 9,780.92 is: 14,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.16 : 31,299.06 = 9,780.92 : x
  2. Step 2: Convert to fraction form
    20,881.16/31,299.06 = 9,780.92/x
  3. Step 3: Cross multiply
    20,881.16x = 31,299.06 × 9,780.92
  4. Step 4: Simplify right side
    20,881.16x = 306,133,601.94
  5. Step 5: Solve for x
    x = 306,133,601.94/20,881.16
  6. Step 6: Final answer
    x = 14,660.76

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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.