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Finding the Fourth Proportional to 16,190.70, 24,278.85 and 7,428.30

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Solution

The fourth proportional to 16,190.70, 24,278.85 and 7,428.30 is: 11,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.70 : 24,278.85 = 7,428.30 : x
  2. Step 2: Convert to fraction form
    16,190.70/24,278.85 = 7,428.30/x
  3. Step 3: Cross multiply
    16,190.70x = 24,278.85 × 7,428.30
  4. Step 4: Simplify right side
    16,190.70x = 180,350,581.46
  5. Step 5: Solve for x
    x = 180,350,581.46/16,190.70
  6. Step 6: Final answer
    x = 11,139.15

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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.