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Finding the Fourth Proportional to 23,378.70, 35,082.10 and 8,384.66

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Solution

The fourth proportional to 23,378.70, 35,082.10 and 8,384.66 is: 12,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.70 : 35,082.10 = 8,384.66 : x
  2. Step 2: Convert to fraction form
    23,378.70/35,082.10 = 8,384.66/x
  3. Step 3: Cross multiply
    23,378.70x = 35,082.10 × 8,384.66
  4. Step 4: Simplify right side
    23,378.70x = 294,151,480.59
  5. Step 5: Solve for x
    x = 294,151,480.59/23,378.70
  6. Step 6: Final answer
    x = 12,582.03

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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.