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Finding the Fourth Proportional to 23,147.12, 34,713.50 and 8,354.12

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Solution

The fourth proportional to 23,147.12, 34,713.50 and 8,354.12 is: 12,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.12 : 34,713.50 = 8,354.12 : x
  2. Step 2: Convert to fraction form
    23,147.12/34,713.50 = 8,354.12/x
  3. Step 3: Cross multiply
    23,147.12x = 34,713.50 × 8,354.12
  4. Step 4: Simplify right side
    23,147.12x = 290,000,529.28
  5. Step 5: Solve for x
    x = 290,000,529.28/23,147.12
  6. Step 6: Final answer
    x = 12,528.58

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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.