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Finding the Fourth Proportional to 23,147.58, 34,714.19 and 8,354.58

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Solution

The fourth proportional to 23,147.58, 34,714.19 and 8,354.58 is: 12,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.58 : 34,714.19 = 8,354.58 : x
  2. Step 2: Convert to fraction form
    23,147.58/34,714.19 = 8,354.58/x
  3. Step 3: Cross multiply
    23,147.58x = 34,714.19 × 8,354.58
  4. Step 4: Simplify right side
    23,147.58x = 290,022,477.49
  5. Step 5: Solve for x
    x = 290,022,477.49/23,147.58
  6. Step 6: Final answer
    x = 12,529.28

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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.