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Finding the Fourth Proportional to 16,470.57, 24,674.86 and 8,140.84

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Solution

The fourth proportional to 16,470.57, 24,674.86 and 8,140.84 is: 12,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.57 : 24,674.86 = 8,140.84 : x
  2. Step 2: Convert to fraction form
    16,470.57/24,674.86 = 8,140.84/x
  3. Step 3: Cross multiply
    16,470.57x = 24,674.86 × 8,140.84
  4. Step 4: Simplify right side
    16,470.57x = 200,874,035.77
  5. Step 5: Solve for x
    x = 200,874,035.77/16,470.57
  6. Step 6: Final answer
    x = 12,195.93

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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.