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Finding the Fourth Proportional to 14,107.12, 19,468.46 and 8,057.89

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Solution

The fourth proportional to 14,107.12, 19,468.46 and 8,057.89 is: 11,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.12 : 19,468.46 = 8,057.89 : x
  2. Step 2: Convert to fraction form
    14,107.12/19,468.46 = 8,057.89/x
  3. Step 3: Cross multiply
    14,107.12x = 19,468.46 × 8,057.89
  4. Step 4: Simplify right side
    14,107.12x = 156,874,650.41
  5. Step 5: Solve for x
    x = 156,874,650.41/14,107.12
  6. Step 6: Final answer
    x = 11,120.25

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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.