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Finding the Fourth Proportional to 16,216.70, 24,328.49 and 9,199.94

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Solution

The fourth proportional to 16,216.70, 24,328.49 and 9,199.94 is: 13,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.70 : 24,328.49 = 9,199.94 : x
  2. Step 2: Convert to fraction form
    16,216.70/24,328.49 = 9,199.94/x
  3. Step 3: Cross multiply
    16,216.70x = 24,328.49 × 9,199.94
  4. Step 4: Simplify right side
    16,216.70x = 223,820,480.65
  5. Step 5: Solve for x
    x = 223,820,480.65/16,216.70
  6. Step 6: Final answer
    x = 13,801.86

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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.