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Finding the Fourth Proportional to 26,825.64, 40,207.50 and 19,699.80

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Solution

The fourth proportional to 26,825.64, 40,207.50 and 19,699.80 is: 29,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825.64 : 40,207.50 = 19,699.80 : x
  2. Step 2: Convert to fraction form
    26,825.64/40,207.50 = 19,699.80/x
  3. Step 3: Cross multiply
    26,825.64x = 40,207.50 × 19,699.80
  4. Step 4: Simplify right side
    26,825.64x = 792,079,708.50
  5. Step 5: Solve for x
    x = 792,079,708.50/26,825.64
  6. Step 6: Final answer
    x = 29,526.96

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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.