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Finding the Fourth Proportional to 16,156.80, 24,235.20 and 14,212.80

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Solution

The fourth proportional to 16,156.80, 24,235.20 and 14,212.80 is: 21,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.80 : 24,235.20 = 14,212.80 : x
  2. Step 2: Convert to fraction form
    16,156.80/24,235.20 = 14,212.80/x
  3. Step 3: Cross multiply
    16,156.80x = 24,235.20 × 14,212.80
  4. Step 4: Simplify right side
    16,156.80x = 344,450,050.56
  5. Step 5: Solve for x
    x = 344,450,050.56/16,156.80
  6. Step 6: Final answer
    x = 21,319.20

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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.