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Finding the Fourth Proportional to 11,020.80, 16,516.80 and 9,782.40

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Solution

The fourth proportional to 11,020.80, 16,516.80 and 9,782.40 is: 14,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.80 : 16,516.80 = 9,782.40 : x
  2. Step 2: Convert to fraction form
    11,020.80/16,516.80 = 9,782.40/x
  3. Step 3: Cross multiply
    11,020.80x = 16,516.80 × 9,782.40
  4. Step 4: Simplify right side
    11,020.80x = 161,573,944.32
  5. Step 5: Solve for x
    x = 161,573,944.32/11,020.80
  6. Step 6: Final answer
    x = 14,660.82

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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.