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Finding the Fourth Proportional to 23,665.34, 35,503.68 and 8,082.56

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Solution

The fourth proportional to 23,665.34, 35,503.68 and 8,082.56 is: 12,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.34 : 35,503.68 = 8,082.56 : x
  2. Step 2: Convert to fraction form
    23,665.34/35,503.68 = 8,082.56/x
  3. Step 3: Cross multiply
    23,665.34x = 35,503.68 × 8,082.56
  4. Step 4: Simplify right side
    23,665.34x = 286,960,623.82
  5. Step 5: Solve for x
    x = 286,960,623.82/23,665.34
  6. Step 6: Final answer
    x = 12,125.78

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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.