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Finding the Fourth Proportional to 14,466.83, 19,964.48 and 8,179.20

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Solution

The fourth proportional to 14,466.83, 19,964.48 and 8,179.20 is: 11,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.83 : 19,964.48 = 8,179.20 : x
  2. Step 2: Convert to fraction form
    14,466.83/19,964.48 = 8,179.20/x
  3. Step 3: Cross multiply
    14,466.83x = 19,964.48 × 8,179.20
  4. Step 4: Simplify right side
    14,466.83x = 163,293,433.92
  5. Step 5: Solve for x
    x = 163,293,433.92/14,466.83
  6. Step 6: Final answer
    x = 11,287.44

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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.