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Finding the Fourth Proportional to 14,581.94, 20,125.02 and 8,209.77

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Solution

The fourth proportional to 14,581.94, 20,125.02 and 8,209.77 is: 11,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581.94 : 20,125.02 = 8,209.77 : x
  2. Step 2: Convert to fraction form
    14,581.94/20,125.02 = 8,209.77/x
  3. Step 3: Cross multiply
    14,581.94x = 20,125.02 × 8,209.77
  4. Step 4: Simplify right side
    14,581.94x = 165,221,785.45
  5. Step 5: Solve for x
    x = 165,221,785.45/14,581.94
  6. Step 6: Final answer
    x = 11,330.58

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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.