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Finding the Fourth Proportional to 14,460.42, 21,693.75 and 8,223.42

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Solution

The fourth proportional to 14,460.42, 21,693.75 and 8,223.42 is: 12,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.42 : 21,693.75 = 8,223.42 : x
  2. Step 2: Convert to fraction form
    14,460.42/21,693.75 = 8,223.42/x
  3. Step 3: Cross multiply
    14,460.42x = 21,693.75 × 8,223.42
  4. Step 4: Simplify right side
    14,460.42x = 178,396,817.63
  5. Step 5: Solve for x
    x = 178,396,817.63/14,460.42
  6. Step 6: Final answer
    x = 12,336.90

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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.