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Finding the Fourth Proportional to 16,855.76, 23,250.12 and 10,231.76

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Solution

The fourth proportional to 16,855.76, 23,250.12 and 10,231.76 is: 14,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.76 : 23,250.12 = 10,231.76 : x
  2. Step 2: Convert to fraction form
    16,855.76/23,250.12 = 10,231.76/x
  3. Step 3: Cross multiply
    16,855.76x = 23,250.12 × 10,231.76
  4. Step 4: Simplify right side
    16,855.76x = 237,889,647.81
  5. Step 5: Solve for x
    x = 237,889,647.81/16,855.76
  6. Step 6: Final answer
    x = 14,113.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.