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Finding the Fourth Proportional to 14,509.84, 20,027.14 and 8,847.71

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Solution

The fourth proportional to 14,509.84, 20,027.14 and 8,847.71 is: 12,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.84 : 20,027.14 = 8,847.71 : x
  2. Step 2: Convert to fraction form
    14,509.84/20,027.14 = 8,847.71/x
  3. Step 3: Cross multiply
    14,509.84x = 20,027.14 × 8,847.71
  4. Step 4: Simplify right side
    14,509.84x = 177,194,326.85
  5. Step 5: Solve for x
    x = 177,194,326.85/14,509.84
  6. Step 6: Final answer
    x = 12,212.01

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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.