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Finding the Fourth Proportional to 23,680.80, 35,521.92 and 11,206.80

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Solution

The fourth proportional to 23,680.80, 35,521.92 and 11,206.80 is: 16,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.80 : 35,521.92 = 11,206.80 : x
  2. Step 2: Convert to fraction form
    23,680.80/35,521.92 = 11,206.80/x
  3. Step 3: Cross multiply
    23,680.80x = 35,521.92 × 11,206.80
  4. Step 4: Simplify right side
    23,680.80x = 398,087,053.06
  5. Step 5: Solve for x
    x = 398,087,053.06/23,680.80
  6. Step 6: Final answer
    x = 16,810.54

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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.