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Finding the Fourth Proportional to 22,535.64, 33,808.29 and 6,741.90

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Solution

The fourth proportional to 22,535.64, 33,808.29 and 6,741.90 is: 10,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.64 : 33,808.29 = 6,741.90 : x
  2. Step 2: Convert to fraction form
    22,535.64/33,808.29 = 6,741.90/x
  3. Step 3: Cross multiply
    22,535.64x = 33,808.29 × 6,741.90
  4. Step 4: Simplify right side
    22,535.64x = 227,932,110.35
  5. Step 5: Solve for x
    x = 227,932,110.35/22,535.64
  6. Step 6: Final answer
    x = 10,114.29

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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.