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Finding the Fourth Proportional to 14,443.20, 21,664.80 and 8,205.12

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Solution

The fourth proportional to 14,443.20, 21,664.80 and 8,205.12 is: 12,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.20 : 21,664.80 = 8,205.12 : x
  2. Step 2: Convert to fraction form
    14,443.20/21,664.80 = 8,205.12/x
  3. Step 3: Cross multiply
    14,443.20x = 21,664.80 × 8,205.12
  4. Step 4: Simplify right side
    14,443.20x = 177,762,283.78
  5. Step 5: Solve for x
    x = 177,762,283.78/14,443.20
  6. Step 6: Final answer
    x = 12,307.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.