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Finding the Fourth Proportional to 14,599.08, 20,146.82 and 8,311.08

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Solution

The fourth proportional to 14,599.08, 20,146.82 and 8,311.08 is: 11,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599.08 : 20,146.82 = 8,311.08 : x
  2. Step 2: Convert to fraction form
    14,599.08/20,146.82 = 8,311.08/x
  3. Step 3: Cross multiply
    14,599.08x = 20,146.82 × 8,311.08
  4. Step 4: Simplify right side
    14,599.08x = 167,441,832.77
  5. Step 5: Solve for x
    x = 167,441,832.77/14,599.08
  6. Step 6: Final answer
    x = 11,469.34

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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.