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Finding the Fourth Proportional to 15,178.67, 22,765.23 and 4,082.76

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Solution

The fourth proportional to 15,178.67, 22,765.23 and 4,082.76 is: 6,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.67 : 22,765.23 = 4,082.76 : x
  2. Step 2: Convert to fraction form
    15,178.67/22,765.23 = 4,082.76/x
  3. Step 3: Cross multiply
    15,178.67x = 22,765.23 × 4,082.76
  4. Step 4: Simplify right side
    15,178.67x = 92,944,970.43
  5. Step 5: Solve for x
    x = 92,944,970.43/15,178.67
  6. Step 6: Final answer
    x = 6,123.39

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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.