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Finding the Fourth Proportional to 16,169.40, 24,223.70 and 9,222.84

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Solution

The fourth proportional to 16,169.40, 24,223.70 and 9,222.84 is: 13,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.40 : 24,223.70 = 9,222.84 : x
  2. Step 2: Convert to fraction form
    16,169.40/24,223.70 = 9,222.84/x
  3. Step 3: Cross multiply
    16,169.40x = 24,223.70 × 9,222.84
  4. Step 4: Simplify right side
    16,169.40x = 223,411,309.31
  5. Step 5: Solve for x
    x = 223,411,309.31/16,169.40
  6. Step 6: Final answer
    x = 13,816.92

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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.