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Finding the Fourth Proportional to 16,077.20, 24,115.80 and 14,133.20

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Solution

The fourth proportional to 16,077.20, 24,115.80 and 14,133.20 is: 21,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.20 : 24,115.80 = 14,133.20 : x
  2. Step 2: Convert to fraction form
    16,077.20/24,115.80 = 14,133.20/x
  3. Step 3: Cross multiply
    16,077.20x = 24,115.80 × 14,133.20
  4. Step 4: Simplify right side
    16,077.20x = 340,833,424.56
  5. Step 5: Solve for x
    x = 340,833,424.56/16,077.20
  6. Step 6: Final answer
    x = 21,199.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.