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Finding the Fourth Proportional to 14,771.66, 20,384.95 and 8,057.43

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Solution

The fourth proportional to 14,771.66, 20,384.95 and 8,057.43 is: 11,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.66 : 20,384.95 = 8,057.43 : x
  2. Step 2: Convert to fraction form
    14,771.66/20,384.95 = 8,057.43/x
  3. Step 3: Cross multiply
    14,771.66x = 20,384.95 × 8,057.43
  4. Step 4: Simplify right side
    14,771.66x = 164,250,317.75
  5. Step 5: Solve for x
    x = 164,250,317.75/14,771.66
  6. Step 6: Final answer
    x = 11,119.29

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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.