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Finding the Fourth Proportional to 20,165.20, 30,247.80 and 16,277.20

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Solution

The fourth proportional to 20,165.20, 30,247.80 and 16,277.20 is: 24,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.20 : 30,247.80 = 16,277.20 : x
  2. Step 2: Convert to fraction form
    20,165.20/30,247.80 = 16,277.20/x
  3. Step 3: Cross multiply
    20,165.20x = 30,247.80 × 16,277.20
  4. Step 4: Simplify right side
    20,165.20x = 492,349,490.16
  5. Step 5: Solve for x
    x = 492,349,490.16/20,165.20
  6. Step 6: Final answer
    x = 24,415.80

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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.