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Finding the Fourth Proportional to 23,172.16, 34,758.48 and 7,589.92

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Solution

The fourth proportional to 23,172.16, 34,758.48 and 7,589.92 is: 11,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.16 : 34,758.48 = 7,589.92 : x
  2. Step 2: Convert to fraction form
    23,172.16/34,758.48 = 7,589.92/x
  3. Step 3: Cross multiply
    23,172.16x = 34,758.48 × 7,589.92
  4. Step 4: Simplify right side
    23,172.16x = 263,814,082.52
  5. Step 5: Solve for x
    x = 263,814,082.52/23,172.16
  6. Step 6: Final answer
    x = 11,384.96

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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.