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Finding the Fourth Proportional to 14,771.79, 20,384.42 and 8,057.25

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Solution

The fourth proportional to 14,771.79, 20,384.42 and 8,057.25 is: 11,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.79 : 20,384.42 = 8,057.25 : x
  2. Step 2: Convert to fraction form
    14,771.79/20,384.42 = 8,057.25/x
  3. Step 3: Cross multiply
    14,771.79x = 20,384.42 × 8,057.25
  4. Step 4: Simplify right side
    14,771.79x = 164,242,327.76
  5. Step 5: Solve for x
    x = 164,242,327.76/14,771.79
  6. Step 6: Final answer
    x = 11,118.65

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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.