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Finding the Fourth Proportional to 14,771.58, 20,384.13 and 8,057.07

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Solution

The fourth proportional to 14,771.58, 20,384.13 and 8,057.07 is: 11,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.58 : 20,384.13 = 8,057.07 : x
  2. Step 2: Convert to fraction form
    14,771.58/20,384.13 = 8,057.07/x
  3. Step 3: Cross multiply
    14,771.58x = 20,384.13 × 8,057.07
  4. Step 4: Simplify right side
    14,771.58x = 164,236,362.30
  5. Step 5: Solve for x
    x = 164,236,362.30/14,771.58
  6. Step 6: Final answer
    x = 11,118.40

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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.