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Finding the Fourth Proportional to 23,147.51, 34,714.05 and 8,354.48

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Solution

The fourth proportional to 23,147.51, 34,714.05 and 8,354.48 is: 12,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.51 : 34,714.05 = 8,354.48 : x
  2. Step 2: Convert to fraction form
    23,147.51/34,714.05 = 8,354.48/x
  3. Step 3: Cross multiply
    23,147.51x = 34,714.05 × 8,354.48
  4. Step 4: Simplify right side
    23,147.51x = 290,017,836.44
  5. Step 5: Solve for x
    x = 290,017,836.44/23,147.51
  6. Step 6: Final answer
    x = 12,529.12

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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.