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Finding the Fourth Proportional to 26,706.80, 40,047.58 and 7,980.30

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Solution

The fourth proportional to 26,706.80, 40,047.58 and 7,980.30 is: 11,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.80 : 40,047.58 = 7,980.30 : x
  2. Step 2: Convert to fraction form
    26,706.80/40,047.58 = 7,980.30/x
  3. Step 3: Cross multiply
    26,706.80x = 40,047.58 × 7,980.30
  4. Step 4: Simplify right side
    26,706.80x = 319,591,712.65
  5. Step 5: Solve for x
    x = 319,591,712.65/26,706.80
  6. Step 6: Final answer
    x = 11,966.68

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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.