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Finding the Fourth Proportional to 16,082.40, 24,071.76 and 8,280.48

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Solution

The fourth proportional to 16,082.40, 24,071.76 and 8,280.48 is: 12,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.40 : 24,071.76 = 8,280.48 : x
  2. Step 2: Convert to fraction form
    16,082.40/24,071.76 = 8,280.48/x
  3. Step 3: Cross multiply
    16,082.40x = 24,071.76 × 8,280.48
  4. Step 4: Simplify right side
    16,082.40x = 199,325,727.24
  5. Step 5: Solve for x
    x = 199,325,727.24/16,082.40
  6. Step 6: Final answer
    x = 12,394.03

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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.