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Finding the Fourth Proportional to 14,382.68, 19,847.46 and 8,009.60

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Solution

The fourth proportional to 14,382.68, 19,847.46 and 8,009.60 is: 11,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.68 : 19,847.46 = 8,009.60 : x
  2. Step 2: Convert to fraction form
    14,382.68/19,847.46 = 8,009.60/x
  3. Step 3: Cross multiply
    14,382.68x = 19,847.46 × 8,009.60
  4. Step 4: Simplify right side
    14,382.68x = 158,970,215.62
  5. Step 5: Solve for x
    x = 158,970,215.62/14,382.68
  6. Step 6: Final answer
    x = 11,052.89

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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.