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Finding the Fourth Proportional to 16,623.20, 24,923.64 and 7,850

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Solution

The fourth proportional to 16,623.20, 24,923.64 and 7,850 is: 11,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623.20 : 24,923.64 = 7,850 : x
  2. Step 2: Convert to fraction form
    16,623.20/24,923.64 = 7,850/x
  3. Step 3: Cross multiply
    16,623.20x = 24,923.64 × 7,850
  4. Step 4: Simplify right side
    16,623.20x = 195,650,574
  5. Step 5: Solve for x
    x = 195,650,574/16,623.20
  6. Step 6: Final answer
    x = 11,769.73

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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.