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Finding the Fourth Proportional to 16,081.20, 24,114.60 and 7,311.60

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Solution

The fourth proportional to 16,081.20, 24,114.60 and 7,311.60 is: 10,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.20 : 24,114.60 = 7,311.60 : x
  2. Step 2: Convert to fraction form
    16,081.20/24,114.60 = 7,311.60/x
  3. Step 3: Cross multiply
    16,081.20x = 24,114.60 × 7,311.60
  4. Step 4: Simplify right side
    16,081.20x = 176,316,309.36
  5. Step 5: Solve for x
    x = 176,316,309.36/16,081.20
  6. Step 6: Final answer
    x = 10,964.13

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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.