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Finding the Fourth Proportional to 23,123.38, 34,690.53 and 7,541

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Solution

The fourth proportional to 23,123.38, 34,690.53 and 7,541 is: 11,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.38 : 34,690.53 = 7,541 : x
  2. Step 2: Convert to fraction form
    23,123.38/34,690.53 = 7,541/x
  3. Step 3: Cross multiply
    23,123.38x = 34,690.53 × 7,541
  4. Step 4: Simplify right side
    23,123.38x = 261,601,286.73
  5. Step 5: Solve for x
    x = 261,601,286.73/23,123.38
  6. Step 6: Final answer
    x = 11,313.28

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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.