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Finding the Fourth Proportional to 14,596.76, 20,142.38 and 8,223

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Solution

The fourth proportional to 14,596.76, 20,142.38 and 8,223 is: 11,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.76 : 20,142.38 = 8,223 : x
  2. Step 2: Convert to fraction form
    14,596.76/20,142.38 = 8,223/x
  3. Step 3: Cross multiply
    14,596.76x = 20,142.38 × 8,223
  4. Step 4: Simplify right side
    14,596.76x = 165,630,749.63
  5. Step 5: Solve for x
    x = 165,630,749.63/14,596.76
  6. Step 6: Final answer
    x = 11,347.09

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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.