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Finding the Fourth Proportional to 20,233.82, 30,330.02 and 7,750.46

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Solution

The fourth proportional to 20,233.82, 30,330.02 and 7,750.46 is: 11,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.82 : 30,330.02 = 7,750.46 : x
  2. Step 2: Convert to fraction form
    20,233.82/30,330.02 = 7,750.46/x
  3. Step 3: Cross multiply
    20,233.82x = 30,330.02 × 7,750.46
  4. Step 4: Simplify right side
    20,233.82x = 235,071,606.81
  5. Step 5: Solve for x
    x = 235,071,606.81/20,233.82
  6. Step 6: Final answer
    x = 11,617.76

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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.