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Finding the Fourth Proportional to 14,442.70, 21,664.05 and 8,200.30

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Solution

The fourth proportional to 14,442.70, 21,664.05 and 8,200.30 is: 12,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.70 : 21,664.05 = 8,200.30 : x
  2. Step 2: Convert to fraction form
    14,442.70/21,664.05 = 8,200.30/x
  3. Step 3: Cross multiply
    14,442.70x = 21,664.05 × 8,200.30
  4. Step 4: Simplify right side
    14,442.70x = 177,651,709.22
  5. Step 5: Solve for x
    x = 177,651,709.22/14,442.70
  6. Step 6: Final answer
    x = 12,300.45

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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.