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Finding the Fourth Proportional to 14,811.80, 20,440.25 and 8,097.41

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Solution

The fourth proportional to 14,811.80, 20,440.25 and 8,097.41 is: 11,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.80 : 20,440.25 = 8,097.41 : x
  2. Step 2: Convert to fraction form
    14,811.80/20,440.25 = 8,097.41/x
  3. Step 3: Cross multiply
    14,811.80x = 20,440.25 × 8,097.41
  4. Step 4: Simplify right side
    14,811.80x = 165,513,079.02
  5. Step 5: Solve for x
    x = 165,513,079.02/14,811.80
  6. Step 6: Final answer
    x = 11,174.41

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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.